﻿64:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
Taller:@0.175844:0.696725:0.236739:0.696725:0.236739:0.662777:0.175844:0.662777:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I.M.4.1.4. Formula y resuelve problemas aplicando las propiedades algebraicas de los números racionales y el planteamiento  :@0.256865:0.679469:0.877711:0.679469:0.877711:0.669040:0.256865:0.669040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y resolución de ecuaciones e inecuaciones de primer grado con una incógnita. (I.2.):@0.256865:0.690031:0.644614:0.690031:0.644614:0.679601:0.256865:0.679601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una ecuación de primer grado en :@0.115209:0.170890:0.377840:0.170890:0.377840:0.154501:0.115209:0.154501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.382734:0.170467:0.288293:0.170467:0.288293:0.153719:0.382734:0.153719:0.000000
:@0.491513:0.170467:0.397071:0.170467:0.397071:0.153719:0.491513:0.153719:0.000000
/,:@0.437759:0.169596:0.460757:0.169596:0.460757:0.153207:0.437759:0.153207:0.000000:0.000000
,:@0.504143:0.169596:0.507350:0.169596:0.507350:0.153207:0.504143:0.153207:0.000000
0:@0.533931:0.169596:0.542924:0.169596:0.542924:0.153207:0.533931:0.153207:0.000000
=⎨:@0.399651:0.170191:0.421469:0.170467:0.421469:0.152446:0.399651:0.152170:0.000000:0.000000
∈:@0.474983:0.170191:0.441887:0.170191:0.441887:0.152170:0.474983:0.152170:0.000000
≠:@0.521218:0.170191:0.488122:0.170191:0.488122:0.152170:0.521218:0.152170:0.000000
⎧:@0.412366:0.160606:0.421469:0.160606:0.421469:0.142585:0.412366:0.142585:0.000000
⎩:@0.412366:0.180688:0.421469:0.180688:0.421469:0.162667:0.412366:0.162667:0.000000
⎫:@0.543460:0.160606:0.552564:0.160606:0.552564:0.142585:0.543460:0.142585:0.000000
⎬:@0.543460:0.170467:0.552564:0.170467:0.552564:0.152446:0.543460:0.152446:0.000000
⎭:@0.543460:0.180688:0.552564:0.180688:0.552564:0.162667:0.543460:0.162667:0.000000
a:@0.423367:0.161118:0.432637:0.161118:0.432637:0.145725:0.423367:0.145725:0.000000
b:@0.423165:0.180494:0.432434:0.180494:0.432434:0.165101:0.423165:0.165101:0.000000
a b:@0.447655:0.169610:0.471583:0.169610:0.471583:0.154217:0.447655:0.154217:0.000000:0.000000:0.000000
b:@0.508907:0.169610:0.518176:0.169610:0.518176:0.154217:0.508907:0.154217:0.000000
 es una igualdad entre dos expresiones, que contiene números :@0.399815:0.170890:0.883891:0.170890:0.883891:0.154501:0.399815:0.154501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
racionales y letras. Las letras representan las variables o incógnitas, cuyo valor debe encontrarse para :@0.115200:0.187486:0.883874:0.187486:0.883874:0.171097:0.115200:0.171097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resolver la ecuación.:@0.115200:0.204083:0.263137:0.204083:0.263137:0.187694:0.115200:0.187694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.115209:0.233194:0.272331:0.233194:0.272331:0.214757:0.115209:0.214757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolvemos:@0.115209:0.260645:0.206886:0.260645:0.206886:0.244021:0.115209:0.244021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación: :@0.206886:0.260645:0.301531:0.260645:0.301531:0.244256:0.206886:0.244256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+ ⎟=:@0.377699:0.262497:0.422533:0.262524:0.422533:0.244504:0.377699:0.244476:0.000000:0.000000:0.000000:0.000000
⎛:@0.344511:0.252912:0.351587:0.252912:0.351587:0.234891:0.344511:0.234891:0.000000
⎝:@0.344511:0.272994:0.351587:0.272994:0.351587:0.254973:0.344511:0.254973:0.000000
⎜:@0.344511:0.263728:0.351587:0.263728:0.351587:0.245707:0.344511:0.245707:0.000000
⎞:@0.403147:0.252926:0.410223:0.252926:0.410223:0.234905:0.403147:0.234905:0.000000
⎠:@0.403147:0.273008:0.410223:0.273008:0.410223:0.254987:0.403147:0.254987:0.000000
⎛:@0.448645:0.252940:0.455721:0.252940:0.455721:0.234919:0.448645:0.234919:0.000000
⎝:@0.448645:0.273022:0.455721:0.273022:0.455721:0.255001:0.448645:0.255001:0.000000
⎜:@0.448645:0.263755:0.455721:0.263755:0.455721:0.245734:0.448645:0.245734:0.000000
⎞:@0.493830:0.252954:0.500906:0.252954:0.500906:0.234933:0.493830:0.234933:0.000000
⎠:@0.493830:0.273035:0.500906:0.273035:0.500906:0.255015:0.493830:0.255015:0.000000
⎟:@0.493830:0.263769:0.500906:0.263769:0.500906:0.245748:0.493830:0.245748:0.000000
2 3 8:@0.305628:0.253466:0.362570:0.253466:0.362570:0.237077:0.305628:0.237077:0.000000:0.000000:0.000000:0.000000:0.000000
3 4 9:@0.305831:0.272842:0.362570:0.272842:0.362570:0.256453:0.305831:0.256453:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.318546:0.261957:0.327760:0.261957:0.327760:0.245568:0.318546:0.245568:0.000000
5:@0.391999:0.253466:0.400991:0.253466:0.400991:0.237077:0.391999:0.237077:0.000000
6:@0.391796:0.272842:0.400789:0.272842:0.400789:0.256453:0.391796:0.256453:0.000000
–:@0.425500:0.261957:0.434714:0.261957:0.434714:0.245568:0.425500:0.245568:0.000000
1:@0.438436:0.253466:0.447429:0.253466:0.447429:0.237077:0.438436:0.237077:0.000000
3:@0.437865:0.272842:0.446858:0.272842:0.446858:0.256453:0.437865:0.256453:0.000000
–:@0.469173:0.261957:0.478387:0.261957:0.478387:0.245568:0.469173:0.245568:0.000000
9:@0.482478:0.253466:0.491471:0.253466:0.491471:0.237077:0.482478:0.237077:0.000000
2:@0.482644:0.272842:0.491637:0.272842:0.491637:0.256453:0.482644:0.256453:0.000000
–:@0.503007:0.261957:0.512220:0.261957:0.512220:0.245568:0.503007:0.245568:0.000000
1:@0.517085:0.253466:0.526078:0.253466:0.526078:0.237077:0.517085:0.237077:0.000000
2:@0.516293:0.272842:0.525286:0.272842:0.525286:0.256453:0.516293:0.256453:0.000000
x:@0.367014:0.261907:0.374477:0.261907:0.374477:0.246514:0.367014:0.246514:0.000000
x:@0.457687:0.261907:0.465150:0.261907:0.465150:0.246514:0.457687:0.246514:0.000000
.:@0.532054:0.260645:0.535260:0.260645:0.535260:0.244256:0.532054:0.244256:0.000000
Los pasos para resolver una ecuación se muestran a continuación.:@0.115202:0.293132:0.597654:0.293132:0.597654:0.276743:0.115202:0.276743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuaciones de primer grado en los racionales :@0.115891:0.141978:0.791593:0.141978:0.791593:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
19:@0.048264:0.122645:0.082248:0.122645:0.082248:0.065614:0.048264:0.065614:0.000000:0.000000
M.4.1.20. Resolver ecuaciones de primer grado con una incógnita en Q en la solución de problemas sencillos.:@0.125388:0.074999:0.631985:0.074999:0.631985:0.064570:0.125388:0.064570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.122251:0.327697:0.135905:0.327697:0.135905:0.312119:0.122251:0.312119:0.000000:0.000000
Destruimos:@0.155187:0.327697:0.235414:0.327697:0.235414:0.312584:0.155187:0.312584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los paréntesis.:@0.235414:0.327697:0.332107:0.327697:0.332107:0.312798:0.235414:0.312798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.686643:0.326580:0.695748:0.326580:0.695748:0.312565:0.686643:0.312565:0.000000
+:@0.730560:0.326580:0.739665:0.326580:0.739665:0.312565:0.730560:0.312565:0.000000
2 2:@0.616911:0.318332:0.648610:0.318332:0.648610:0.303582:0.616911:0.303582:0.000000:0.000000:0.000000
3 3:@0.617094:0.335771:0.648793:0.335771:0.648793:0.321021:0.617094:0.321021:0.000000:0.000000:0.000000
–:@0.628549:0.325970:0.636842:0.325970:0.636842:0.311220:0.628549:0.311220:0.000000
–:@0.662613:0.325970:0.670906:0.325970:0.670906:0.311220:0.662613:0.311220:0.000000
5:@0.674911:0.318332:0.683005:0.318332:0.683005:0.303582:0.674911:0.303582:0.000000
8:@0.674580:0.335771:0.682673:0.335771:0.682673:0.321021:0.674580:0.321021:0.000000
–:@0.698422:0.325970:0.706714:0.325970:0.706714:0.311220:0.698422:0.311220:0.000000
1:@0.710060:0.318332:0.718153:0.318332:0.718153:0.303582:0.710060:0.303582:0.000000
3:@0.709545:0.335771:0.717639:0.335771:0.717639:0.321021:0.709545:0.321021:0.000000
3 1:@0.743097:0.318332:0.775305:0.318332:0.775305:0.303582:0.743097:0.303582:0.000000:0.000000:0.000000
2 2:@0.742914:0.335771:0.774592:0.335771:0.774592:0.321021:0.742914:0.321021:0.000000:0.000000:0.000000
–:@0.754537:0.325970:0.762830:0.325970:0.762830:0.311220:0.754537:0.311220:0.000000
x:@0.652295:0.325975:0.659012:0.325975:0.659012:0.311250:0.652295:0.311250:0.000000
x:@0.720940:0.325975:0.727657:0.325975:0.727657:0.311250:0.720940:0.311250:0.000000
2.:@0.122251:0.364945:0.135905:0.364945:0.135905:0.349367:0.122251:0.349367:0.000000:0.000000
Separamos:@0.155187:0.357402:0.232817:0.357402:0.232817:0.342289:0.155187:0.342289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las variables a la izquierda y números  :@0.232817:0.357402:0.488722:0.357402:0.488722:0.342503:0.232817:0.342503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a la derecha. Al cambiar de lado, cambia el signo.:@0.155187:0.372489:0.480597:0.372489:0.480597:0.357590:0.155187:0.357590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.678068:0.364060:0.687173:0.364060:0.687173:0.350045:0.678068:0.350045:0.000000
+:@0.725368:0.364060:0.734473:0.364060:0.734473:0.350045:0.725368:0.350045:0.000000
1:@0.622706:0.355812:0.630799:0.355812:0.630799:0.341062:0.622706:0.341062:0.000000
3:@0.622192:0.373251:0.630285:0.373251:0.630285:0.358501:0.622192:0.358501:0.000000
–:@0.643909:0.363451:0.652202:0.363451:0.652202:0.348700:0.643909:0.348700:0.000000
2:@0.655876:0.355812:0.663969:0.355812:0.663969:0.341062:0.655876:0.341062:0.000000
3:@0.656058:0.373251:0.664151:0.373251:0.664151:0.358501:0.656058:0.358501:0.000000
3 1 5 2:@0.691019:0.355812:0.769745:0.355812:0.769745:0.341062:0.691019:0.341062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 2 8 3:@0.690837:0.373251:0.769928:0.373251:0.769928:0.358501:0.690837:0.358501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.702474:0.363451:0.710767:0.363451:0.710767:0.348700:0.702474:0.348700:0.000000
–:@0.749684:0.363451:0.757976:0.363451:0.757976:0.348700:0.749684:0.348700:0.000000
x:@0.633590:0.363451:0.640307:0.363451:0.640307:0.348725:0.633590:0.348725:0.000000
x:@0.667655:0.363451:0.674372:0.363451:0.674372:0.348725:0.667655:0.348725:0.000000
3.:@0.122251:0.402482:0.135905:0.402482:0.135905:0.386904:0.122251:0.386904:0.000000:0.000000
Resolvemos:@0.155187:0.402482:0.238530:0.402482:0.238530:0.387369:0.155187:0.387369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 cada lado de la ecuación.:@0.238530:0.402482:0.410125:0.402482:0.410125:0.387583:0.238530:0.387583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.697103:0.401386:0.706208:0.401386:0.706208:0.387370:0.697103:0.387370:0.000000
–:@0.664166:0.400776:0.672458:0.400776:0.672458:0.386026:0.664166:0.386026:0.000000
1:@0.675806:0.393138:0.683899:0.393138:0.683899:0.378388:0.675806:0.378388:0.000000
3:@0.675292:0.410577:0.683385:0.410577:0.683385:0.395827:0.675292:0.395827:0.000000
23:@0.710385:0.393138:0.726390:0.393138:0.726390:0.378388:0.710385:0.378388:0.000000:0.000000
24:@0.709871:0.410577:0.725876:0.410577:0.725876:0.395827:0.709871:0.395827:0.000000:0.000000
x:@0.686690:0.400776:0.693407:0.400776:0.693407:0.386051:0.686690:0.386051:0.000000
4.:@0.122251:0.440397:0.135905:0.440397:0.135905:0.424819:0.122251:0.424819:0.000000:0.000000
Despejamos:@0.155187:0.432854:0.241311:0.432854:0.241311:0.417741:0.155187:0.417741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la incógnita:  El número que multiplica :@0.241311:0.432854:0.504858:0.432854:0.504858:0.417955:0.241311:0.417955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a la incógnita pasa a dividir al segundo miembro.:@0.155187:0.447941:0.481100:0.447941:0.481100:0.433042:0.155187:0.433042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.669541:0.439266:0.678646:0.439266:0.678646:0.425250:0.669541:0.425250:0.000000
÷:@0.702196:0.439266:0.711301:0.439266:0.711301:0.425250:0.702196:0.425250:0.000000
23:@0.682827:0.431018:0.698831:0.431018:0.698831:0.416268:0.682827:0.416268:0.000000:0.000000
24:@0.682313:0.448457:0.698317:0.448457:0.698317:0.433706:0.682313:0.433706:0.000000:0.000000
–:@0.713169:0.438656:0.721461:0.438656:0.721461:0.423906:0.713169:0.423906:0.000000
1:@0.724807:0.431018:0.732900:0.431018:0.732900:0.416268:0.724807:0.416268:0.000000
3:@0.724293:0.448457:0.732386:0.448457:0.732386:0.433706:0.724293:0.433706:0.000000
x:@0.659127:0.438656:0.665844:0.438656:0.665844:0.423931:0.659127:0.423931:0.000000
5.:@0.122251:0.478157:0.135905:0.478157:0.135905:0.462579:0.122251:0.462579:0.000000:0.000000
Obtenemos:@0.155187:0.478157:0.237592:0.478157:0.237592:0.463044:0.155187:0.463044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la respuesta.:@0.237592:0.478157:0.323429:0.478157:0.323429:0.463258:0.237592:0.463258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.681602:0.476990:0.690707:0.476990:0.690707:0.462974:0.681602:0.462974:0.000000
–:@0.693378:0.476380:0.701670:0.476380:0.701670:0.461630:0.693378:0.461630:0.000000
23:@0.704499:0.468742:0.720504:0.468742:0.720504:0.453992:0.704499:0.453992:0.000000:0.000000
8:@0.708132:0.486181:0.716225:0.486181:0.716225:0.471431:0.708132:0.471431:0.000000
x:@0.671189:0.476380:0.677906:0.476380:0.677906:0.461655:0.671189:0.461655:0.000000
6.:@0.122251:0.573406:0.135905:0.573406:0.135905:0.557828:0.122251:0.557828:0.000000:0.000000
Comprobamos:@0.155187:0.558318:0.259336:0.558318:0.259336:0.543206:0.155187:0.543206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la respuesta reemplazando el valor :@0.259336:0.558318:0.497688:0.558318:0.497688:0.543419:0.259336:0.543419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
encontrado en la incógnita y obteniendo una :@0.155187:0.573406:0.462272:0.573406:0.462272:0.558507:0.155187:0.558507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igualdad.:@0.155187:0.588494:0.216417:0.588494:0.216417:0.573595:0.155187:0.573595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⎛:@0.614308:0.510994:0.620676:0.510994:0.620676:0.494776:0.614308:0.494776:0.000000
⎝:@0.614308:0.529068:0.620676:0.529068:0.620676:0.512849:0.614308:0.512849:0.000000
⎜:@0.614308:0.520718:0.620676:0.520718:0.620676:0.504500:0.614308:0.504500:0.000000
⎞:@0.650022:0.510994:0.656391:0.510994:0.656391:0.494776:0.650022:0.494776:0.000000
⎠:@0.650022:0.529068:0.656391:0.529068:0.656391:0.512849:0.650022:0.512849:0.000000
⎟+ ⎟ =:@0.650022:0.520718:0.697905:0.519625:0.697905:0.503406:0.650022:0.504500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⎛:@0.595743:0.510004:0.602111:0.510004:0.602111:0.493785:0.595743:0.493785:0.000000
⎝:@0.595743:0.530056:0.602111:0.530056:0.602111:0.513837:0.595743:0.513837:0.000000
⎜:@0.595743:0.521567:0.602111:0.521567:0.602111:0.505348:0.595743:0.505348:0.000000
⎞:@0.680458:0.510004:0.686827:0.510004:0.686827:0.493785:0.680458:0.493785:0.000000
⎠:@0.680458:0.530056:0.686827:0.530056:0.686827:0.513837:0.680458:0.513837:0.000000
⎛ ⎛:@0.727857:0.510994:0.727771:0.510004:0.727771:0.493785:0.727857:0.494776:0.000000:0.000000:0.000000
⎝ ⎝:@0.727857:0.529068:0.727771:0.530056:0.727771:0.513837:0.727857:0.512849:0.000000:0.000000:0.000000
⎜ ⎜:@0.727857:0.520718:0.727771:0.521567:0.727771:0.505348:0.727857:0.504500:0.000000:0.000000:0.000000
⎞:@0.763570:0.510994:0.769939:0.510994:0.769939:0.494776:0.763570:0.494776:0.000000
⎠:@0.763570:0.529068:0.769939:0.529068:0.769939:0.512849:0.763570:0.512849:0.000000
⎟:@0.763570:0.520718:0.769939:0.520718:0.769939:0.504500:0.763570:0.504500:0.000000
⎞:@0.794008:0.510004:0.800376:0.510004:0.800376:0.493785:0.794008:0.493785:0.000000
⎠:@0.794008:0.530056:0.800376:0.530056:0.800376:0.513837:0.794008:0.513837:0.000000
⎟:@0.794008:0.521567:0.800376:0.521567:0.800376:0.505348:0.794008:0.505348:0.000000
2 3 8:@0.560741:0.511447:0.611989:0.511447:0.611989:0.496697:0.560741:0.496697:0.000000:0.000000:0.000000:0.000000:0.000000
3 4 9:@0.560924:0.528886:0.611989:0.528886:0.611989:0.514136:0.560924:0.514136:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.572367:0.519090:0.580660:0.519090:0.580660:0.504340:0.572367:0.504340:0.000000
–:@0.621475:0.519090:0.629768:0.519090:0.629768:0.504340:0.621475:0.504340:0.000000
23:@0.632587:0.511447:0.648591:0.511447:0.648591:0.496697:0.632587:0.496697:0.000000:0.000000
8:@0.636219:0.528886:0.644312:0.528886:0.644312:0.514136:0.636219:0.514136:0.000000
5:@0.670434:0.511447:0.678527:0.511447:0.678527:0.496697:0.670434:0.496697:0.000000
6:@0.670251:0.528886:0.678345:0.528886:0.678345:0.514136:0.670251:0.514136:0.000000
–:@0.700585:0.519090:0.708877:0.519090:0.708877:0.504340:0.700585:0.504340:0.000000
1:@0.712227:0.511447:0.720321:0.511447:0.720321:0.496697:0.712227:0.496697:0.000000
3:@0.711713:0.528886:0.719807:0.528886:0.719807:0.514136:0.711713:0.514136:0.000000
–:@0.735032:0.519090:0.743324:0.519090:0.743324:0.504340:0.735032:0.504340:0.000000
23:@0.746144:0.511447:0.762148:0.511447:0.762148:0.496697:0.746144:0.496697:0.000000:0.000000
8:@0.749776:0.528886:0.757869:0.528886:0.757869:0.514136:0.749776:0.514136:0.000000
–:@0.771817:0.519090:0.780109:0.519090:0.780109:0.504340:0.771817:0.504340:0.000000
9:@0.783791:0.511447:0.791885:0.511447:0.791885:0.496697:0.783791:0.496697:0.000000
2:@0.783940:0.528886:0.792034:0.528886:0.792034:0.514136:0.783940:0.514136:0.000000
–:@0.802267:0.519090:0.810559:0.519090:0.810559:0.504340:0.802267:0.504340:0.000000
1:@0.814938:0.511447:0.823031:0.511447:0.823031:0.496697:0.814938:0.496697:0.000000
2:@0.814224:0.528886:0.822318:0.528886:0.822318:0.514136:0.814224:0.514136:0.000000
+ ⎟=:@0.663121:0.561247:0.703467:0.561247:0.703467:0.545028:0.663121:0.545029:0.000000:0.000000:0.000000:0.000000
⎛:@0.626371:0.552619:0.632740:0.552619:0.632740:0.536400:0.626371:0.536400:0.000000
⎝:@0.626371:0.570692:0.632740:0.570692:0.632740:0.554473:0.626371:0.554473:0.000000
⎜:@0.626371:0.562343:0.632740:0.562343:0.632740:0.546124:0.626371:0.546124:0.000000
⎞:@0.686020:0.552619:0.692388:0.552619:0.692388:0.536400:0.686020:0.536400:0.000000
⎠:@0.686020:0.570692:0.692388:0.570692:0.692388:0.554473:0.686020:0.554473:0.000000
⎛:@0.726963:0.552617:0.733331:0.552617:0.733331:0.536399:0.726963:0.536399:0.000000
⎝:@0.726963:0.570691:0.733331:0.570691:0.733331:0.554472:0.726963:0.554472:0.000000
⎜:@0.726963:0.562341:0.733331:0.562341:0.733331:0.546123:0.726963:0.546123:0.000000
⎞:@0.763384:0.552617:0.769753:0.552617:0.769753:0.536399:0.763384:0.536399:0.000000
⎠:@0.763384:0.570691:0.769753:0.570691:0.769753:0.554472:0.763384:0.554472:0.000000
⎟:@0.763384:0.562341:0.769753:0.562341:0.769753:0.546123:0.763384:0.546123:0.000000
2 3:@0.591366:0.553068:0.623914:0.553068:0.623914:0.538318:0.591366:0.538318:0.000000:0.000000:0.000000
3 4:@0.591551:0.570505:0.623718:0.570507:0.623718:0.555757:0.591551:0.555755:0.000000:0.000000:0.000000
–:@0.603000:0.560711:0.611292:0.560711:0.611292:0.545961:0.603000:0.545961:0.000000
–:@0.633528:0.560712:0.641820:0.560712:0.641820:0.545962:0.633528:0.545962:0.000000
23 5:@0.644640:0.553070:0.684077:0.553074:0.684077:0.538324:0.644640:0.538320:0.000000:0.000000:0.000000:0.000000
9:@0.648278:0.570508:0.656372:0.570508:0.656372:0.555758:0.648278:0.555758:0.000000
6:@0.675794:0.570508:0.683888:0.570508:0.683888:0.555758:0.675794:0.555758:0.000000
–:@0.706136:0.560713:0.714429:0.560713:0.714429:0.545963:0.706136:0.545963:0.000000
1:@0.717779:0.553071:0.725872:0.553071:0.725872:0.538321:0.717779:0.538321:0.000000
3:@0.717255:0.570509:0.725348:0.570509:0.725348:0.555759:0.717255:0.555759:0.000000
–:@0.734121:0.560715:0.742413:0.560715:0.742413:0.545965:0.734121:0.545965:0.000000
59:@0.745233:0.553072:0.761237:0.553072:0.761237:0.538322:0.745233:0.538322:0.000000:0.000000
8:@0.749198:0.570510:0.757292:0.570510:0.757292:0.555760:0.749198:0.555760:0.000000
–:@0.771626:0.560716:0.779919:0.560716:0.779919:0.545966:0.771626:0.545966:0.000000
1:@0.784297:0.553073:0.792391:0.553073:0.792391:0.538323:0.784297:0.538323:0.000000
2:@0.783594:0.570512:0.791688:0.570512:0.791688:0.555762:0.783594:0.555762:0.000000
+:@0.646689:0.597076:0.655794:0.597076:0.655794:0.583060:0.646689:0.583060:0.000000
=:@0.702231:0.597076:0.711336:0.597076:0.711336:0.583060:0.702231:0.583060:0.000000
2 23 5:@0.635758:0.588828:0.698600:0.588828:0.698600:0.574078:0.635758:0.574078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 12 8:@0.635940:0.606267:0.698268:0.606267:0.698268:0.591517:0.635940:0.591517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.678210:0.596466:0.686502:0.596466:0.686502:0.581716:0.678210:0.581716:0.000000
59:@0.715201:0.588828:0.731205:0.588828:0.731205:0.574078:0.715201:0.574078:0.000000:0.000000
24 2:@0.715019:0.606267:0.755275:0.606267:0.755275:0.591517:0.715019:0.591517:0.000000:0.000000:0.000000:0.000000
–:@0.735220:0.596466:0.743512:0.596466:0.743512:0.581716:0.735220:0.581716:0.000000
1:@0.747895:0.588828:0.755988:0.588828:0.755988:0.574078:0.747895:0.574078:0.000000
=:@0.691072:0.630554:0.700177:0.630554:0.700177:0.616539:0.691072:0.616539:0.000000
47:@0.671095:0.622306:0.687100:0.622306:0.687100:0.607556:0.671095:0.607556:0.000000:0.000000
24:@0.670581:0.639745:0.686585:0.639745:0.686585:0.624995:0.670581:0.624995:0.000000:0.000000
47:@0.704497:0.622306:0.720501:0.622306:0.720501:0.607556:0.704497:0.607556:0.000000:0.000000
24:@0.703983:0.639745:0.719987:0.639745:0.719987:0.624995:0.703983:0.624995:0.000000:0.000000
1. :@0.115209:0.732144:0.133950:0.732144:0.133950:0.715008:0.115209:0.715008:0.000000:0.000000:0.000000
Relaciona:@0.148452:0.732144:0.222697:0.732144:0.222697:0.715520:0.148452:0.715520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 cada operación con su solución.:@0.222697:0.732144:0.462201:0.732144:0.462201:0.715755:0.222697:0.715755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.264283:0.766592:0.273388:0.766592:0.273388:0.752576:0.264283:0.752576:0.000000
2:@0.238841:0.758344:0.246935:0.758344:0.246935:0.743594:0.238841:0.743594:0.000000
15:@0.234546:0.775782:0.250550:0.775782:0.250550:0.761032:0.234546:0.761032:0.000000:0.000000
–:@0.276064:0.765982:0.284356:0.765982:0.284356:0.751232:0.276064:0.751232:0.000000
3:@0.291469:0.758344:0.299563:0.758344:0.299563:0.743594:0.291469:0.743594:0.000000
20:@0.287174:0.775782:0.303178:0.775782:0.303178:0.761032:0.287174:0.761032:0.000000:0.000000
x:@0.253872:0.765982:0.260589:0.765982:0.260589:0.751257:0.253872:0.751257:0.000000
1:@0.734144:0.758344:0.742238:0.758344:0.742238:0.743594:0.734144:0.743594:0.000000
2:@0.733431:0.775782:0.741525:0.775782:0.741525:0.761032:0.733431:0.761032:0.000000
+:@0.249913:0.811915:0.259018:0.811915:0.259018:0.797899:0.249913:0.797899:0.000000
=:@0.284775:0.811915:0.293880:0.811915:0.293880:0.797899:0.284775:0.797899:0.000000
1 8:@0.239879:0.803662:0.270362:0.803662:0.270362:0.788912:0.239879:0.788912:0.000000:0.000000:0.000000
5 5:@0.239365:0.821101:0.270694:0.821101:0.270694:0.806351:0.239365:0.806351:0.000000:0.000000:0.000000
1:@0.295206:0.811305:0.303300:0.811305:0.303300:0.796555:0.295206:0.796555:0.000000
x:@0.274367:0.811305:0.281083:0.811305:0.281083:0.796580:0.274367:0.796580:0.000000
–:@0.727170:0.811305:0.735463:0.811305:0.735463:0.796555:0.727170:0.796555:0.000000
9:@0.738291:0.803667:0.746384:0.803667:0.746384:0.788917:0.738291:0.788917:0.000000
8:@0.738291:0.821105:0.746384:0.821105:0.746384:0.806355:0.738291:0.806355:0.000000
=:@0.273660:0.857237:0.282765:0.857237:0.282765:0.843221:0.273660:0.843221:0.000000
77:@0.239595:0.848989:0.255600:0.848989:0.255600:0.834239:0.239595:0.834239:0.000000:0.000000
100:@0.235300:0.866427:0.259215:0.866427:0.259215:0.851677:0.235300:0.851677:0.000000:0.000000:0.000000
33:@0.286746:0.848989:0.302750:0.848989:0.302750:0.834239:0.286746:0.834239:0.000000:0.000000
50:@0.286414:0.866427:0.302419:0.866427:0.302419:0.851677:0.286414:0.851677:0.000000:0.000000
x:@0.263248:0.856627:0.269965:0.856627:0.269965:0.841902:0.263248:0.841902:0.000000
15:@0.729715:0.848989:0.745720:0.848989:0.745720:0.834239:0.729715:0.834239:0.000000:0.000000
16:@0.729383:0.866427:0.745388:0.866427:0.745388:0.851677:0.729383:0.851677:0.000000:0.000000
=:@0.269656:0.902560:0.278761:0.902560:0.278761:0.888544:0.269656:0.888544:0.000000
4:@0.246804:0.894312:0.254897:0.894312:0.254897:0.879562:0.246804:0.879562:0.000000
5:@0.246986:0.911751:0.255080:0.911751:0.255080:0.897001:0.246986:0.897001:0.000000
3:@0.283274:0.894312:0.291367:0.894312:0.291367:0.879562:0.283274:0.879562:0.000000
4:@0.283092:0.911751:0.291185:0.911751:0.291185:0.897001:0.283092:0.897001:0.000000
x:@0.259243:0.901950:0.265959:0.901950:0.265959:0.887225:0.259243:0.887225:0.000000
6:@0.733768:0.894312:0.741861:0.894312:0.741861:0.879562:0.733768:0.879562:0.000000
7:@0.733436:0.911751:0.741529:0.911751:0.741529:0.897001:0.733436:0.897001:0.000000