﻿11:@0.921900:0.510692:0.940807:0.510692:0.940807:0.494068:0.921900:0.494068:0.000000:0.000000
Taller:@0.180593:0.130781:0.241488:0.130781:0.241488:0.096834:0.180593:0.096834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I.M.5.2.1. Resuelve sistemas de ecuaciones mxn con diferentes tipos de soluciones y empleando varios métodos, y los aplica en :@0.261615:0.113525:0.882495:0.113525:0.882495:0.103096:0.261615:0.103096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones racionales y en problemas de aplicación; juzga la validez de sus hallazgos. (I.2.):@0.261615:0.124087:0.672827:0.124087:0.672827:0.113657:0.261615:0.113657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.119958:0.172018:0.138699:0.172018:0.138699:0.154882:0.119958:0.154882:0.000000:0.000000:0.000000
Resuelve:@0.153202:0.172018:0.221363:0.172018:0.221363:0.155394:0.153202:0.155394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el siguiente sistema, donde:@0.221363:0.172018:0.425521:0.172018:0.425521:0.155629:0.221363:0.155629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.196818:0.190549:0.209401:0.190549:0.209401:0.174976:0.196818:0.174976:0.000000
,,:@0.165881:0.189871:0.183494:0.189871:0.183494:0.173482:0.165881:0.173482:0.000000:0.000000
3:@0.226098:0.182210:0.231089:0.182210:0.231089:0.172712:0.226098:0.172712:0.000000
:@0.212611:0.190743:0.225353:0.190743:0.225353:0.173994:0.212611:0.173994:0.000000
xy z:@0.157107:0.189871:0.192774:0.189871:0.192774:0.173510:0.157107:0.173510:0.000000:0.000000:0.000000:0.000000
 denotan las incógnitas.:@0.231948:0.189871:0.405075:0.189871:0.405075:0.173482:0.231948:0.173482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.166444:0.223278:0.173907:0.223278:0.173907:0.207885:0.166444:0.207885:0.000000
y:@0.199426:0.223278:0.206908:0.223278:0.206908:0.207885:0.199426:0.207885:0.000000
z:@0.231619:0.223278:0.238861:0.223278:0.238861:0.207885:0.231619:0.207885:0.000000
x:@0.175234:0.244023:0.182697:0.244023:0.182697:0.228630:0.175234:0.228630:0.000000
y:@0.209681:0.244023:0.217163:0.244023:0.217163:0.228630:0.209681:0.228630:0.000000
z:@0.243035:0.244023:0.250277:0.244023:0.250277:0.228630:0.243035:0.228630:0.000000
x:@0.174810:0.264769:0.182274:0.264769:0.182274:0.249376:0.174810:0.249376:0.000000
y:@0.208524:0.264769:0.216005:0.264769:0.216005:0.249376:0.208524:0.249376:0.000000
z:@0.241509:0.264769:0.248751:0.264769:0.248751:0.249376:0.241509:0.249376:0.000000
+⎧:@0.177003:0.223955:0.164896:0.222849:0.164896:0.207276:0.177003:0.208383:0.000000:0.000000
+:@0.209987:0.223955:0.187376:0.223955:0.187376:0.208383:0.209987:0.208383:0.000000
=:@0.242714:0.223955:0.220104:0.223955:0.220104:0.208383:0.242714:0.208383:0.000000
+ ⎨:@0.185793:0.244701:0.164896:0.244964:0.164896:0.229391:0.185793:0.229128:0.000000:0.000000:0.000000
+:@0.220244:0.244701:0.196491:0.244701:0.196491:0.229128:0.220244:0.229128:0.000000
=:@0.254114:0.244701:0.230361:0.244701:0.230361:0.229128:0.254114:0.229128:0.000000
+ ⎩:@0.185369:0.265446:0.164896:0.267452:0.164896:0.251879:0.185369:0.249873:0.000000:0.000000:0.000000
+:@0.219087:0.265446:0.195683:0.265446:0.195683:0.249873:0.219087:0.249873:0.000000
=:@0.252595:0.265446:0.229192:0.265446:0.229192:0.249873:0.252595:0.249873:0.000000
⎪:@0.155793:0.234480:0.164896:0.234480:0.164896:0.218907:0.155793:0.218907:0.000000
⎪:@0.155793:0.258448:0.164896:0.258448:0.164896:0.242875:0.155793:0.242875:0.000000
2:@0.189147:0.223278:0.198140:0.223278:0.198140:0.207608:0.189147:0.207608:0.000000
3:@0.222133:0.223278:0.231125:0.223278:0.231125:0.207608:0.222133:0.207608:0.000000
2:@0.255376:0.223278:0.264369:0.223278:0.264369:0.207608:0.255376:0.207608:0.000000
2:@0.164980:0.244023:0.173973:0.244023:0.173973:0.228354:0.164980:0.228354:0.000000
4:@0.198693:0.244023:0.207686:0.244023:0.207686:0.228354:0.198693:0.228354:0.000000
6:@0.232774:0.244023:0.241766:0.244023:0.241766:0.228354:0.232774:0.228354:0.000000
4:@0.267535:0.244023:0.276528:0.244023:0.276528:0.228354:0.267535:0.228354:0.000000
3:@0.164980:0.264769:0.173973:0.264769:0.173973:0.249099:0.164980:0.249099:0.000000
6:@0.197910:0.264769:0.206903:0.264769:0.206903:0.249099:0.197910:0.249099:0.000000
9:@0.231259:0.264769:0.240251:0.264769:0.240251:0.249099:0.231259:0.249099:0.000000
6:@0.265654:0.264769:0.274647:0.264769:0.274647:0.249099:0.265654:0.249099:0.000000
 :@0.119958:0.303651:0.123993:0.303651:0.123993:0.287262:0.119958:0.287262:0.000000
¿Cuántas soluciones tiene el sistema de ecua-:@0.153202:0.303651:0.492335:0.303651:0.492335:0.287262:0.153202:0.287262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciones propuesto?:@0.153202:0.320247:0.288182:0.320247:0.288182:0.303858:0.153202:0.303858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_____________________________________:@0.153202:0.350010:0.492123:0.350010:0.492123:0.333621:0.153202:0.333621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
______________________________________:@0.153202:0.372636:0.484917:0.372636:0.484917:0.356247:0.153202:0.356247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. :@0.120032:0.404349:0.138773:0.404349:0.138773:0.387214:0.120032:0.387214:0.000000:0.000000:0.000000
Aplica:@0.153275:0.404349:0.200782:0.404349:0.200782:0.387725:0.153275:0.387725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el método de sustitución para hallar :@0.200782:0.404349:0.496470:0.404349:0.496470:0.387960:0.200782:0.387960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la solución de los sistemas de ecuaciones de :@0.153275:0.420946:0.496416:0.420946:0.496416:0.404557:0.153275:0.404557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cada ítem, donde  ,,:@0.153275:0.437542:0.324785:0.437545:0.324785:0.421156:0.153275:0.421153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.338694:0.438222:0.351833:0.438222:0.351833:0.422649:0.338694:0.422649:0.000000
:@0.355190:0.438416:0.368495:0.438416:0.368495:0.421667:0.355190:0.421667:0.000000
xy z:@0.297235:0.437545:0.334478:0.437545:0.334478:0.421183:0.297235:0.421183:0.000000:0.000000:0.000000:0.000000
 denotan las in-:@0.371886:0.437545:0.492402:0.437545:0.492402:0.421156:0.371886:0.421156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cógnitas.:@0.153279:0.454141:0.218844:0.454141:0.218844:0.437752:0.153279:0.437752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.153279:0.516142:0.172001:0.516142:0.172001:0.499242:0.153279:0.499242:0.000000:0.000000:0.000000
+⎧:@0.210331:0.493253:0.198224:0.492147:0.198224:0.476574:0.210331:0.477680:0.000000:0.000000
=:@0.243473:0.493253:0.220438:0.493253:0.220438:0.477680:0.243473:0.477680:0.000000
++:@0.218697:0.513998:0.253009:0.513998:0.253009:0.498426:0.218697:0.498426:0.000000:0.000000
=:@0.275981:0.513998:0.286098:0.513998:0.286098:0.498426:0.275981:0.498426:0.000000
+:@0.219121:0.534744:0.229237:0.534744:0.229237:0.519171:0.219121:0.519171:0.000000
+=:@0.252838:0.534744:0.287297:0.534744:0.287297:0.519171:0.252838:0.519171:0.000000:0.000000
⎨:@0.189120:0.514261:0.198224:0.514261:0.198224:0.498688:0.189120:0.498688:0.000000
⎪:@0.189120:0.503778:0.198224:0.503778:0.198224:0.488205:0.189120:0.488205:0.000000
⎩:@0.189120:0.536749:0.198224:0.536749:0.198224:0.521176:0.189120:0.521176:0.000000
⎪:@0.189120:0.527746:0.198224:0.527746:0.198224:0.512173:0.189120:0.512173:0.000000
2:@0.222474:0.492575:0.231467:0.492575:0.231467:0.476906:0.222474:0.476906:0.000000
9:@0.256142:0.492575:0.265134:0.492575:0.265134:0.476906:0.256142:0.476906:0.000000
5:@0.198297:0.513321:0.207290:0.513321:0.207290:0.497651:0.198297:0.497651:0.000000
7:@0.254627:0.513321:0.263620:0.513321:0.263620:0.497651:0.254627:0.497651:0.000000
35:@0.288655:0.513321:0.306438:0.513321:0.306438:0.497651:0.288655:0.497651:0.000000:0.000000
2:@0.198297:0.534066:0.207290:0.534066:0.207290:0.518397:0.198297:0.518397:0.000000
6:@0.231646:0.534066:0.240638:0.534066:0.240638:0.518397:0.231646:0.518397:0.000000
18:@0.288709:0.534066:0.306491:0.534066:0.306491:0.518397:0.288709:0.518397:0.000000:0.000000
x:@0.199771:0.492575:0.207235:0.492575:0.207235:0.477182:0.199771:0.477182:0.000000
z:@0.232388:0.492575:0.239630:0.492575:0.239630:0.477182:0.232388:0.477182:0.000000
x y:@0.208138:0.513321:0.239806:0.513321:0.239806:0.497928:0.208138:0.497928:0.000000:0.000000:0.000000
z:@0.264886:0.513321:0.272128:0.513321:0.272128:0.497928:0.264886:0.497928:0.000000
x:@0.208561:0.534066:0.216025:0.534066:0.216025:0.518673:0.208561:0.518673:0.000000
yz:@0.242275:0.534066:0.273344:0.534066:0.273344:0.518673:0.242275:0.518673:0.000000:0.000000
b) :@0.153272:0.669891:0.173303:0.669891:0.173303:0.652991:0.153272:0.652991:0.000000:0.000000:0.000000
+:@0.252062:0.648676:0.229452:0.648676:0.229452:0.633103:0.252062:0.633103:0.000000
=:@0.284790:0.648676:0.262179:0.648676:0.262179:0.633103:0.284790:0.633103:0.000000
+:@0.245152:0.669421:0.222541:0.669421:0.222541:0.653848:0.245152:0.653848:0.000000
=:@0.277880:0.669421:0.255269:0.669421:0.255269:0.653848:0.277880:0.653848:0.000000
=:@0.276774:0.690166:0.286891:0.690166:0.286891:0.674594:0.276774:0.674594:0.000000
⎧:@0.189132:0.647569:0.198235:0.647569:0.198235:0.631996:0.189132:0.631996:0.000000
⎨:@0.189132:0.669684:0.198235:0.669684:0.198235:0.654111:0.189132:0.654111:0.000000
⎪:@0.189132:0.659200:0.198235:0.659200:0.198235:0.643627:0.189132:0.643627:0.000000
⎩:@0.189132:0.692172:0.198235:0.692172:0.198235:0.676599:0.189132:0.676599:0.000000
⎪:@0.189132:0.683168:0.198235:0.683168:0.198235:0.667595:0.189132:0.667595:0.000000
2 –3:@0.198291:0.647998:0.240626:0.647998:0.240626:0.632328:0.198291:0.632328:0.000000:0.000000:0.000000:0.000000
5:@0.264195:0.647998:0.273188:0.647998:0.273188:0.632328:0.264195:0.632328:0.000000
19:@0.296287:0.647998:0.314070:0.647998:0.314070:0.632328:0.296287:0.632328:0.000000:0.000000
– 4:@0.211116:0.668743:0.232568:0.668743:0.232568:0.653074:0.211116:0.653074:0.000000:0.000000:0.000000
3:@0.257289:0.668743:0.266281:0.668743:0.266281:0.653074:0.257289:0.653074:0.000000
13:@0.289380:0.668743:0.307163:0.668743:0.307163:0.653074:0.289380:0.653074:0.000000:0.000000
3 – –2:@0.198291:0.689489:0.264759:0.689489:0.264759:0.673819:0.198291:0.673819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.289795:0.689489:0.298788:0.689489:0.298788:0.673819:0.289795:0.673819:0.000000
x:@0.208555:0.647998:0.216018:0.647998:0.216018:0.632605:0.208555:0.632605:0.000000
y:@0.241483:0.647998:0.248965:0.647998:0.248965:0.632605:0.241483:0.632605:0.000000
z:@0.273676:0.647998:0.280918:0.647998:0.280918:0.632605:0.273676:0.632605:0.000000
x:@0.199765:0.668743:0.207228:0.668743:0.207228:0.653350:0.199765:0.653350:0.000000
y:@0.234578:0.668743:0.242060:0.668743:0.242060:0.653350:0.234578:0.653350:0.000000
z:@0.266771:0.668743:0.274013:0.668743:0.274013:0.653350:0.266771:0.653350:0.000000
xy:@0.208131:0.689489:0.240158:0.689489:0.240158:0.674096:0.208131:0.674096:0.000000:0.000000
z:@0.265658:0.689489:0.272900:0.689489:0.272900:0.674096:0.265658:0.674096:0.000000
c) :@0.153272:0.823186:0.170907:0.823186:0.170907:0.806286:0.153272:0.806286:0.000000:0.000000:0.000000
+=:@0.252056:0.804948:0.286515:0.804948:0.286515:0.789375:0.252056:0.789375:0.000000:0.000000
+ ⎨:@0.210336:0.825693:0.198232:0.825963:0.198232:0.810390:0.210336:0.810121:0.000000:0.000000:0.000000
=:@0.259243:0.825693:0.220452:0.825693:0.220452:0.810121:0.259243:0.810121:0.000000
+:@0.210332:0.846439:0.163176:0.846439:0.163176:0.830866:0.210332:0.830866:0.000000
=:@0.267605:0.846439:0.220449:0.846439:0.220449:0.830866:0.267605:0.830866:0.000000
⎧:@0.189129:0.803848:0.198232:0.803848:0.198232:0.788275:0.189129:0.788275:0.000000
⎪:@0.189129:0.815479:0.198232:0.815479:0.198232:0.799906:0.189129:0.799906:0.000000
⎩:@0.189129:0.848451:0.198232:0.848451:0.198232:0.832878:0.189129:0.832878:0.000000
⎪:@0.189129:0.839447:0.198232:0.839447:0.198232:0.823874:0.189129:0.823874:0.000000
2 –3:@0.198287:0.804277:0.240621:0.804277:0.240621:0.788607:0.198287:0.788607:0.000000:0.000000:0.000000:0.000000
1:@0.287906:0.804277:0.296899:0.804277:0.296899:0.788607:0.287906:0.788607:0.000000
–:@0.235308:0.825022:0.244522:0.825022:0.244522:0.809352:0.235308:0.809352:0.000000
0:@0.271906:0.825022:0.280898:0.825022:0.280898:0.809352:0.271906:0.809352:0.000000
–5:@0.235308:0.845768:0.256028:0.845768:0.256028:0.830098:0.235308:0.830098:0.000000:0.000000
–8:@0.280646:0.845768:0.298852:0.845768:0.298852:0.830098:0.280646:0.830098:0.000000:0.000000
x:@0.208551:0.804277:0.216015:0.804277:0.216015:0.788883:0.208551:0.788883:0.000000
yz:@0.241480:0.804277:0.272549:0.804277:0.272549:0.788883:0.241480:0.788883:0.000000:0.000000
xyz:@0.199761:0.825022:0.255376:0.825022:0.255376:0.809629:0.199761:0.809629:0.000000:0.000000:0.000000
x y:@0.199761:0.845768:0.231429:0.845768:0.231429:0.830374:0.199761:0.830374:0.000000:0.000000:0.000000
z:@0.256509:0.845768:0.263751:0.845768:0.263751:0.830374:0.256509:0.830374:0.000000
d) :@0.545667:0.196433:0.565734:0.196433:0.565734:0.179533:0.545667:0.179533:0.000000:0.000000:0.000000
+:@0.611522:0.176902:0.555981:0.176902:0.555981:0.161329:0.611522:0.161329:0.000000
=:@0.677180:0.176902:0.621639:0.176902:0.621639:0.161329:0.677180:0.161329:0.000000
+ ⎨:@0.611522:0.197648:0.590620:0.197910:0.590620:0.182338:0.611522:0.182075:0.000000:0.000000:0.000000
=:@0.669587:0.197648:0.621639:0.197648:0.621639:0.182075:0.669587:0.182075:0.000000
+:@0.635657:0.218393:0.612623:0.218393:0.612623:0.202820:0.635657:0.202820:0.000000
=:@0.668799:0.218393:0.645765:0.218393:0.645765:0.202820:0.668799:0.202820:0.000000
⎧:@0.581517:0.175796:0.590620:0.175796:0.590620:0.160223:0.581517:0.160223:0.000000
⎪:@0.581517:0.187427:0.590620:0.187427:0.590620:0.171854:0.581517:0.171854:0.000000
⎩:@0.581517:0.220399:0.590620:0.220399:0.590620:0.204826:0.581517:0.204826:0.000000
⎪:@0.581517:0.211395:0.590620:0.211395:0.590620:0.195822:0.581517:0.195822:0.000000
2:@0.590675:0.176225:0.599668:0.176225:0.599668:0.160555:0.590675:0.160555:0.000000
3 –5:@0.623657:0.176225:0.665580:0.176225:0.665580:0.160555:0.623657:0.160555:0.000000:0.000000:0.000000:0.000000
23:@0.689831:0.176225:0.707613:0.176225:0.707613:0.160555:0.689831:0.160555:0.000000:0.000000
2:@0.590675:0.196970:0.599668:0.196970:0.599668:0.181300:0.590675:0.181300:0.000000
8 –:@0.623657:0.196970:0.654859:0.196970:0.654859:0.181300:0.623657:0.181300:0.000000:0.000000:0.000000
21:@0.682239:0.196970:0.700021:0.196970:0.700021:0.181300:0.682239:0.181300:0.000000:0.000000
–3:@0.603501:0.217715:0.624221:0.217715:0.624221:0.202046:0.603501:0.202046:0.000000:0.000000
2:@0.647790:0.217715:0.656783:0.217715:0.656783:0.202046:0.647790:0.202046:0.000000
–11:@0.681818:0.217715:0.708815:0.217715:0.708815:0.202046:0.681818:0.202046:0.000000:0.000000:0.000000
x:@0.600939:0.176225:0.608403:0.176225:0.608403:0.160831:0.600939:0.160831:0.000000
y:@0.633492:0.176225:0.640974:0.176225:0.640974:0.160831:0.633492:0.160831:0.000000
z:@0.666063:0.176225:0.673305:0.176225:0.673305:0.160831:0.666063:0.160831:0.000000
x:@0.600939:0.196970:0.608403:0.196970:0.608403:0.181577:0.600939:0.181577:0.000000
y z:@0.634288:0.196970:0.665716:0.196970:0.665716:0.181577:0.634288:0.181577:0.000000:0.000000:0.000000
x:@0.592149:0.217715:0.599613:0.217715:0.599613:0.202322:0.592149:0.202322:0.000000
y:@0.625078:0.217715:0.632559:0.217715:0.632559:0.202322:0.625078:0.202322:0.000000
z:@0.657695:0.217715:0.664937:0.217715:0.664937:0.202322:0.657695:0.202322:0.000000
 :@0.512425:0.295941:0.516147:0.295941:0.516147:0.278805:0.512425:0.278805:0.000000
e) :@0.545667:0.354496:0.564537:0.354496:0.564537:0.337595:0.545667:0.337595:0.000000:0.000000:0.000000
+:@0.602719:0.334525:0.612835:0.334525:0.612835:0.318952:0.602719:0.318952:0.000000
=:@0.660416:0.334525:0.670532:0.334525:0.670532:0.318952:0.660416:0.318952:0.000000
+          =:@0.603529:0.355271:0.669832:0.355271:0.669832:0.339698:0.603529:0.339698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x       y:@0.592141:0.354524:0.630305:0.354524:0.630305:0.338162:0.592141:0.338162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+ =:@0.632866:0.376016:0.667326:0.376016:0.667326:0.360443:0.632866:0.360443:0.000000:0.000000:0.000000
⎧:@0.581508:0.333432:0.590612:0.333432:0.590612:0.317860:0.581508:0.317860:0.000000
⎨:@0.581508:0.355547:0.590612:0.355547:0.590612:0.339974:0.581508:0.339974:0.000000
⎪:@0.581508:0.345050:0.590612:0.345050:0.590612:0.329477:0.581508:0.329477:0.000000
⎩:@0.581508:0.378021:0.590612:0.378021:0.590612:0.362448:0.581508:0.362448:0.000000
⎪:@0.581508:0.369018:0.590612:0.369018:0.590612:0.353445:0.581508:0.353445:0.000000
2 –:@0.614862:0.333847:0.645692:0.333847:0.645692:0.317458:0.614862:0.317458:0.000000:0.000000:0.000000
6:@0.673425:0.333847:0.682418:0.333847:0.682418:0.317458:0.673425:0.317458:0.000000
3:@0.672246:0.354593:0.681239:0.354593:0.681239:0.338204:0.672246:0.338204:0.000000
1:@0.673094:0.375338:0.682086:0.375338:0.682086:0.358949:0.673094:0.358949:0.000000
x:@0.592123:0.333847:0.599586:0.333847:0.599586:0.317486:0.592123:0.317486:0.000000
y z:@0.625090:0.333847:0.656509:0.333847:0.656509:0.317486:0.625090:0.317486:0.000000:0.000000:0.000000
y z:@0.622270:0.375338:0.653321:0.375338:0.653321:0.358977:0.622270:0.358977:0.000000:0.000000:0.000000
 :@0.512386:0.454005:0.516109:0.454005:0.516109:0.436869:0.512386:0.436869:0.000000
f) :@0.545667:0.513120:0.562491:0.513120:0.562491:0.496219:0.545667:0.496219:0.000000:0.000000:0.000000
+ ⎧:@0.611522:0.492067:0.590620:0.490961:0.590620:0.475388:0.611522:0.476494:0.000000:0.000000:0.000000
=:@0.660429:0.492067:0.621639:0.492067:0.621639:0.476494:0.660429:0.476494:0.000000
+=:@0.602727:0.512813:0.637979:0.512813:0.637979:0.497240:0.602727:0.497240:0.000000:0.000000
=:@0.636228:0.533558:0.646345:0.533558:0.646345:0.517985:0.636228:0.517985:0.000000
⎨:@0.581517:0.513076:0.590620:0.513076:0.590620:0.497503:0.581517:0.497503:0.000000
⎪:@0.581517:0.502592:0.590620:0.502592:0.590620:0.487019:0.581517:0.487019:0.000000
⎩:@0.581517:0.535564:0.590620:0.535564:0.590620:0.519991:0.581517:0.519991:0.000000
⎪:@0.581517:0.526560:0.590620:0.526560:0.590620:0.510987:0.581517:0.510987:0.000000
2:@0.590687:0.491390:0.599680:0.491390:0.599680:0.475720:0.590687:0.475720:0.000000
–:@0.636494:0.491390:0.645708:0.491390:0.645708:0.475720:0.636494:0.475720:0.000000
3:@0.673092:0.491390:0.682084:0.491390:0.682084:0.475720:0.673092:0.475720:0.000000
2:@0.640525:0.512135:0.649518:0.512135:0.649518:0.496465:0.640525:0.496465:0.000000
2 –:@0.590679:0.532881:0.621514:0.532881:0.621514:0.517211:0.590679:0.517211:0.000000:0.000000:0.000000
–1:@0.649260:0.532881:0.667467:0.532881:0.667467:0.517211:0.649260:0.517211:0.000000:0.000000
xyz:@0.600943:0.491390:0.656557:0.491390:0.656557:0.475997:0.600943:0.475997:0.000000:0.000000:0.000000
x y:@0.592153:0.512135:0.623821:0.512135:0.623821:0.496742:0.592153:0.496742:0.000000:0.000000:0.000000
y z:@0.600943:0.532881:0.632371:0.532881:0.632371:0.517487:0.600943:0.517487:0.000000:0.000000:0.000000
 :@0.512425:0.610113:0.516147:0.610113:0.516147:0.592977:0.512425:0.592977:0.000000
g) :@0.545667:0.666815:0.565587:0.666815:0.565587:0.649914:0.545667:0.649914:0.000000:0.000000:0.000000
x:@0.600527:0.647499:0.607991:0.647499:0.607991:0.632106:0.600527:0.632106:0.000000
y:@0.633089:0.647499:0.640571:0.647499:0.640571:0.632106:0.633089:0.632106:0.000000
z:@0.666802:0.647499:0.674044:0.647499:0.674044:0.632106:0.666802:0.632106:0.000000
x:@0.592161:0.668244:0.599624:0.668244:0.599624:0.652851:0.592161:0.652851:0.000000
y:@0.625091:0.668244:0.632573:0.668244:0.632573:0.652851:0.625091:0.652851:0.000000
z:@0.658805:0.668244:0.666047:0.668244:0.666047:0.652851:0.658805:0.652851:0.000000
x:@0.600951:0.688990:0.608414:0.688990:0.608414:0.673596:0.600951:0.673596:0.000000
y:@0.633880:0.688990:0.641361:0.688990:0.641361:0.673596:0.633880:0.673596:0.000000
z:@0.666496:0.688990:0.673739:0.688990:0.673739:0.673596:0.666496:0.673596:0.000000
+:@0.611103:0.648176:0.554420:0.648176:0.554420:0.632603:0.611103:0.632603:0.000000
=:@0.677903:0.648176:0.621220:0.648176:0.621220:0.632603:0.677903:0.632603:0.000000
+:@0.602729:0.668922:0.612845:0.668922:0.612845:0.653349:0.602729:0.653349:0.000000
−:@0.669363:0.668922:0.679480:0.668922:0.679480:0.653349:0.669363:0.653349:0.000000
+:@0.644449:0.689667:0.621414:0.689667:0.621414:0.674094:0.644449:0.674094:0.000000
=:@0.677591:0.689667:0.654556:0.689667:0.654556:0.674094:0.677591:0.674094:0.000000
⎧:@0.581518:0.647070:0.590622:0.647070:0.590622:0.631497:0.581518:0.631497:0.000000
⎨:@0.581518:0.669185:0.590622:0.669185:0.590622:0.653612:0.581518:0.653612:0.000000
⎪:@0.581518:0.658701:0.590622:0.658701:0.590622:0.643128:0.581518:0.643128:0.000000
⎩:@0.581518:0.691673:0.590622:0.691673:0.590622:0.676100:0.581518:0.676100:0.000000
⎪:@0.581518:0.682669:0.590622:0.682669:0.590622:0.667096:0.581518:0.667096:0.000000
3:@0.590677:0.647499:0.599670:0.647499:0.599670:0.631829:0.590677:0.631829:0.000000
5 –6:@0.623239:0.647499:0.665523:0.647499:0.665523:0.631829:0.623239:0.631829:0.000000:0.000000:0.000000:0.000000
8:@0.690558:0.647499:0.699551:0.647499:0.699551:0.631829:0.690558:0.631829:0.000000
7 –6:@0.614449:0.668244:0.657518:0.668244:0.657518:0.652574:0.614449:0.652574:0.000000:0.000000:0.000000:0.000000
9:@0.681507:0.668244:0.690499:0.668244:0.690499:0.652574:0.681507:0.652574:0.000000
2 –3:@0.590677:0.688990:0.633011:0.688990:0.633011:0.673320:0.590677:0.673320:0.000000:0.000000:0.000000:0.000000
2:@0.656580:0.688990:0.665572:0.688990:0.665572:0.673320:0.656580:0.673320:0.000000
4:@0.690975:0.688990:0.699968:0.688990:0.699968:0.673320:0.690975:0.673320:0.000000
h) :@0.545667:0.823194:0.565568:0.823194:0.565568:0.806293:0.545667:0.806293:0.000000:0.000000:0.000000
xy:@0.600526:0.803707:0.632553:0.803707:0.632553:0.788314:0.600526:0.788314:0.000000:0.000000
z:@0.657688:0.803707:0.664930:0.803707:0.664930:0.788314:0.657688:0.788314:0.000000
xy:@0.592160:0.824452:0.624187:0.824452:0.624187:0.809059:0.592160:0.809059:0.000000:0.000000
y z:@0.616392:0.845198:0.647820:0.845198:0.647820:0.829805:0.616392:0.829805:0.000000:0.000000:0.000000
+:@0.635667:0.804385:0.612633:0.804385:0.612633:0.788812:0.635667:0.788812:0.000000
=:@0.668809:0.804385:0.645775:0.804385:0.645775:0.788812:0.668809:0.788812:0.000000
=:@0.670698:0.825130:0.680815:0.825130:0.680815:0.809557:0.670698:0.809557:0.000000
=:@0.669869:0.845876:0.679986:0.845876:0.679986:0.830303:0.669869:0.830303:0.000000
⎧:@0.581545:0.803278:0.590648:0.803278:0.590648:0.787705:0.581545:0.787705:0.000000
⎨:@0.581545:0.825393:0.590648:0.825393:0.590648:0.809820:0.581545:0.809820:0.000000
⎪:@0.581545:0.814910:0.590648:0.814910:0.590648:0.799337:0.581545:0.799337:0.000000
⎩:@0.581545:0.847881:0.590648:0.847881:0.590648:0.832308:0.581545:0.832308:0.000000
⎪:@0.581545:0.838878:0.590648:0.838878:0.590648:0.823305:0.581545:0.823305:0.000000
5 –:@0.590704:0.803707:0.621120:0.803707:0.621120:0.788037:0.590704:0.788037:0.000000:0.000000:0.000000
2:@0.647820:0.803707:0.656813:0.803707:0.656813:0.788037:0.647820:0.788037:0.000000
12:@0.680330:0.803707:0.698113:0.803707:0.698113:0.788037:0.680330:0.788037:0.000000:0.000000
–:@0.603529:0.824452:0.612743:0.824452:0.612743:0.808783:0.603529:0.808783:0.000000
..............:@0.625108:0.824452:0.667842:0.824452:0.667842:0.808783:0.625108:0.808783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7:@0.682953:0.824452:0.691945:0.824452:0.691945:0.808783:0.682953:0.808783:0.000000
........:@0.590298:0.845198:0.614789:0.845198:0.614789:0.829528:0.590298:0.829528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.627780:0.845198:0.636994:0.845198:0.636994:0.829528:0.627780:0.829528:0.000000
......:@0.648567:0.845198:0.666976:0.845198:0.666976:0.829528:0.648567:0.829528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.681386:0.845198:0.690379:0.845198:0.690379:0.829528:0.681386:0.829528:0.000000
x:@0.578379:0.270775:0.585842:0.270775:0.585842:0.254414:0.578379:0.254414:0.000000
 = 1,   = 2,   = –3:@0.585842:0.270775:0.708404:0.270775:0.708404:0.254386:0.585842:0.254386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.621131:0.270775:0.628613:0.270775:0.628613:0.254414:0.621131:0.254414:0.000000
z:@0.663902:0.270775:0.671144:0.270775:0.671144:0.254414:0.663902:0.254414:0.000000
El sistema tiene infinitas soluciones.:@0.153346:0.350825:0.413041:0.350825:0.413041:0.334436:0.153346:0.334436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.578379:0.430764:0.585842:0.430764:0.585842:0.414403:0.578379:0.414403:0.000000
 = 1,   = 2,   = –1:@0.585842:0.430764:0.708404:0.430764:0.708404:0.414375:0.585842:0.414375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.621131:0.430764:0.628613:0.430764:0.628613:0.414403:0.621131:0.414403:0.000000
z:@0.663902:0.430764:0.671144:0.430764:0.671144:0.414403:0.663902:0.414403:0.000000
x:@0.578379:0.586009:0.585842:0.586009:0.585842:0.569648:0.578379:0.569648:0.000000
 = 2,   = 0,   =1:@0.585842:0.586009:0.695155:0.586009:0.695155:0.569620:0.585842:0.569620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.621131:0.586009:0.628613:0.586009:0.628613:0.569648:0.621131:0.569648:0.000000
z:@0.663902:0.586009:0.671144:0.586009:0.671144:0.569648:0.663902:0.569648:0.000000
x:@0.208905:0.587337:0.216368:0.587337:0.216368:0.570976:0.208905:0.570976:0.000000
 = 1,   = 2,   = 4:@0.216368:0.587337:0.329716:0.587337:0.329716:0.570948:0.216368:0.570948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.251657:0.587337:0.259139:0.587337:0.259139:0.570976:0.251657:0.570976:0.000000
z:@0.294428:0.587337:0.301670:0.587337:0.301670:0.570976:0.294428:0.570976:0.000000
x:@0.208905:0.741310:0.216368:0.741310:0.216368:0.724948:0.208905:0.724948:0.000000
 = 3,   = –1,   = 2:@0.216368:0.741310:0.338930:0.741310:0.338930:0.724921:0.216368:0.724921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.251657:0.741310:0.259139:0.741310:0.259139:0.724948:0.251657:0.724948:0.000000
z:@0.303641:0.741310:0.310883:0.741310:0.310883:0.724948:0.303641:0.724948:0.000000
x:@0.208905:0.897537:0.216368:0.897537:0.216368:0.881176:0.208905:0.881176:0.000000
 = 1,   = 1,   = 2:@0.216368:0.897537:0.329716:0.897537:0.329716:0.881148:0.216368:0.881148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.251657:0.897537:0.259139:0.897537:0.259139:0.881176:0.251657:0.881176:0.000000
z:@0.294428:0.897537:0.301670:0.897537:0.301670:0.881176:0.294428:0.881176:0.000000
x:@0.603806:0.742741:0.611269:0.742741:0.611269:0.726379:0.603806:0.726379:0.000000
y:@0.656048:0.742741:0.663530:0.742741:0.663530:0.726379:0.656048:0.726379:0.000000
z:@0.709028:0.742741:0.716270:0.742741:0.716270:0.726379:0.709028:0.726379:0.000000
=:@0.615323:0.743418:0.573198:0.743418:0.573198:0.727845:0.615323:0.727845:0.000000
=:@0.667565:0.743418:0.625440:0.743418:0.625440:0.727845:0.667565:0.727845:0.000000
=:@0.720121:0.743418:0.730238:0.743418:0.730238:0.727845:0.720121:0.727845:0.000000
22:@0.629457:0.734221:0.647240:0.734221:0.647240:0.717832:0.629457:0.717832:0.000000:0.000000
5:@0.634066:0.753664:0.643058:0.753664:0.643058:0.737275:0.634066:0.737275:0.000000
,:@0.650032:0.742741:0.653239:0.742741:0.653239:0.726352:0.650032:0.726352:0.000000
49:@0.682447:0.734221:0.700229:0.734221:0.700229:0.717832:0.682447:0.717832:0.000000:0.000000
10:@0.681495:0.753664:0.699278:0.753664:0.699278:0.737275:0.681495:0.737275:0.000000:0.000000
,:@0.703377:0.742741:0.706583:0.742741:0.706583:0.726352:0.703377:0.726352:0.000000
99:@0.734262:0.734221:0.752044:0.734221:0.752044:0.717832:0.734262:0.717832:0.000000:0.000000
20:@0.734265:0.753664:0.752048:0.753664:0.752048:0.737275:0.734265:0.737275:0.000000:0.000000
x:@0.606319:0.899037:0.613782:0.899037:0.613782:0.882676:0.606319:0.882676:0.000000
y:@0.649771:0.899037:0.657253:0.899037:0.657253:0.882676:0.649771:0.882676:0.000000
z:@0.703893:0.899037:0.711135:0.899037:0.711135:0.882676:0.703893:0.882676:0.000000
=:@0.617836:0.899715:0.584500:0.899715:0.584500:0.884142:0.617836:0.884142:0.000000
=:@0.661288:0.899715:0.627953:0.899715:0.627953:0.884142:0.661288:0.884142:0.000000
=:@0.715005:0.899715:0.725122:0.899715:0.725122:0.884142:0.715005:0.884142:0.000000
7:@0.631601:0.890517:0.640594:0.890517:0.640594:0.874128:0.631601:0.874128:0.000000
2:@0.631972:0.909960:0.640964:0.909960:0.640964:0.893571:0.631972:0.893571:0.000000
,:@0.643750:0.899037:0.646957:0.899037:0.646957:0.882648:0.643750:0.882648:0.000000
– ,:@0.674322:0.899037:0.701451:0.899034:0.701451:0.882645:0.674322:0.882648:0.000000:0.000000:0.000000
7:@0.686097:0.890517:0.695090:0.890517:0.695090:0.874128:0.686097:0.874128:0.000000
2:@0.686469:0.909960:0.695462:0.909960:0.695462:0.893571:0.686469:0.893571:0.000000
–:@0.728042:0.899034:0.737255:0.899034:0.737255:0.882645:0.728042:0.882645:0.000000
9:@0.740180:0.890511:0.749173:0.890511:0.749173:0.874122:0.740180:0.874122:0.000000
2:@0.740338:0.909960:0.749331:0.909960:0.749331:0.893571:0.740338:0.893571:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000