﻿30:@0.048054:0.510692:0.066961:0.510692:0.066961:0.494068:0.048054:0.494068:0.000000:0.000000
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
Para ampliar tus :@0.225148:0.191555:0.334709:0.191555:0.334709:0.176656:0.225148:0.176656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conocimientos :@0.225148:0.206642:0.328626:0.206642:0.328626:0.191743:0.225148:0.191743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
observa:@0.225148:0.221730:0.280867:0.221730:0.280867:0.206617:0.225148:0.206617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el video :@0.280867:0.221730:0.340773:0.221730:0.340773:0.206831:0.280867:0.206831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del siguiente :@0.225148:0.236818:0.314839:0.236818:0.314839:0.221919:0.225148:0.221919:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enlace::@0.225148:0.251905:0.271921:0.251905:0.271921:0.237006:0.225148:0.237006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
TIC:@0.164761:0.172122:0.184730:0.172122:0.184730:0.150396:0.164761:0.150396:0.000000:0.000000:0.000000
mayedu.ec/ctm9/p30:@0.164163:0.269134:0.307344:0.269134:0.307344:0.254009:0.164163:0.254009:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al igual que las ecuaciones con coeficientes enteros, la solución :@0.378692:0.167757:0.885909:0.167757:0.885909:0.151368:0.378692:0.151368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para una ecuación con números racionales es un número que hace :@0.378692:0.184353:0.885913:0.184353:0.885913:0.167964:0.378692:0.167964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.881840:0.184353:0.885876:0.184353:0.885876:0.167964:0.881840:0.167964:0.000000
verdadera la igualdad.:@0.378692:0.200949:0.539914:0.200949:0.539914:0.184560:0.378692:0.184560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.378692:0.230061:0.535814:0.230061:0.535814:0.211624:0.378692:0.211624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolvamos: :@0.378692:0.259836:0.477851:0.259836:0.477851:0.243212:0.378692:0.243212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+ =:@0.549295:0.261119:0.586685:0.261119:0.586685:0.245546:0.549295:0.245546:0.000000:0.000000:0.000000
x:@0.502397:0.260441:0.509860:0.260441:0.509860:0.244080:0.502397:0.244080:0.000000
x:@0.591439:0.260441:0.598902:0.260441:0.598902:0.244080:0.591439:0.244080:0.000000
3:@0.484209:0.251479:0.493201:0.251479:0.493201:0.235090:0.484209:0.235090:0.000000
4:@0.484006:0.270924:0.492999:0.270924:0.492999:0.254536:0.484006:0.254536:0.000000
–:@0.513748:0.260441:0.522962:0.260441:0.522962:0.244052:0.513748:0.244052:0.000000
2:@0.526942:0.251479:0.535935:0.251479:0.535935:0.235090:0.526942:0.235090:0.000000
3:@0.527145:0.270924:0.536138:0.270924:0.536138:0.254536:0.527145:0.254536:0.000000
1:@0.564203:0.251479:0.573196:0.251479:0.573196:0.235090:0.564203:0.235090:0.000000
5:@0.563632:0.270924:0.572625:0.270924:0.572625:0.254536:0.563632:0.254536:0.000000
–:@0.602791:0.260427:0.612004:0.260427:0.612004:0.244038:0.602791:0.244038:0.000000
1:@0.616777:0.251465:0.625770:0.251465:0.625770:0.235076:0.616777:0.235076:0.000000
2:@0.615985:0.270911:0.624977:0.270911:0.624977:0.254522:0.615985:0.254522:0.000000
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
Ecuaciones de primer grado con números racionales:@0.115891:0.141978:0.883268:0.141978:0.883268:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.054138:0.122645:0.076372:0.122645:0.076372:0.065614:0.054138:0.065614:0.000000
Pasos:@0.348256:0.303257:0.389199:0.303257:0.389199:0.287893:0.348256:0.287893:0.000000:0.000000:0.000000:0.000000:0.000000
Operaciones:@0.704764:0.303257:0.795847:0.303257:0.795847:0.287893:0.704764:0.287893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.125806:0.350376:0.144547:0.350376:0.144547:0.333240:0.125806:0.333240:0.000000:0.000000:0.000000
Se resuelven los productos indicados, es decir :@0.159050:0.350376:0.500014:0.350376:0.500014:0.333987:0.159050:0.333987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
destruimos:@0.500346:0.350376:0.586643:0.350376:0.586643:0.333752:0.500346:0.333752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los :@0.586643:0.350376:0.615629:0.350376:0.615629:0.333987:0.586643:0.333987:0.000000:0.000000:0.000000:0.000000:0.000000
signos de agrupación.:@0.159050:0.366972:0.320198:0.366972:0.320198:0.350583:0.159050:0.350583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⋅+ =:@0.728062:0.340257:0.785722:0.340257:0.785722:0.324684:0.728062:0.324684:0.000000:0.000000:0.000000:0.000000
+=:@0.727398:0.376990:0.764788:0.376990:0.764788:0.361417:0.727398:0.361417:0.000000:0.000000
x:@0.690002:0.339579:0.697465:0.339579:0.697465:0.323218:0.690002:0.323218:0.000000
x:@0.790469:0.339579:0.797933:0.339579:0.797933:0.323218:0.790469:0.323218:0.000000
x:@0.690002:0.376313:0.697465:0.376313:0.697465:0.359951:0.690002:0.359951:0.000000
x:@0.769517:0.376313:0.776980:0.376313:0.776980:0.359951:0.769517:0.359951:0.000000
3:@0.676600:0.330621:0.685593:0.330621:0.685593:0.314232:0.676600:0.314232:0.000000
4:@0.676397:0.350067:0.685390:0.350067:0.685390:0.333678:0.676397:0.333678:0.000000
–:@0.701367:0.339569:0.710581:0.339569:0.710581:0.323180:0.701367:0.323180:0.000000
3 2:@0.715501:0.330607:0.744506:0.330607:0.744506:0.314218:0.715501:0.314218:0.000000:0.000000:0.000000
4 3 5:@0.715298:0.350053:0.771668:0.350053:0.771668:0.333664:0.715298:0.333664:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.763247:0.330607:0.772239:0.330607:0.772239:0.314218:0.763247:0.314218:0.000000
–:@0.801834:0.339556:0.811048:0.339556:0.811048:0.323167:0.801834:0.323167:0.000000
1:@0.815821:0.330593:0.824813:0.330593:0.824813:0.314205:0.815821:0.314205:0.000000
2:@0.815028:0.350039:0.824021:0.350039:0.824021:0.333650:0.815028:0.333650:0.000000
3:@0.676618:0.367327:0.685611:0.367327:0.685611:0.350938:0.676618:0.350938:0.000000
4:@0.676391:0.386806:0.685383:0.386806:0.685383:0.370417:0.676391:0.370417:0.000000
–:@0.701363:0.376316:0.710577:0.376316:0.710577:0.359928:0.701363:0.359928:0.000000
1 1:@0.715350:0.367354:0.751294:0.367358:0.751294:0.350969:0.715350:0.350966:0.000000:0.000000:0.000000
2 5:@0.714556:0.386806:0.750718:0.386806:0.750718:0.370417:0.714556:0.370417:0.000000:0.000000:0.000000
–:@0.780884:0.376316:0.790097:0.376316:0.790097:0.359928:0.780884:0.359928:0.000000
1:@0.794870:0.367354:0.803863:0.367354:0.803863:0.350966:0.794870:0.350966:0.000000
2:@0.794076:0.386806:0.803069:0.386806:0.803069:0.370417:0.794076:0.370417:0.000000
2. :@0.125806:0.413690:0.144547:0.413690:0.144547:0.396554:0.125806:0.396554:0.000000:0.000000:0.000000
Transponemos:@0.159050:0.413690:0.272564:0.413690:0.272564:0.397066:0.159050:0.397066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 términos. Es decir, :@0.272564:0.413690:0.413534:0.413690:0.413534:0.397301:0.272564:0.397301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
colocamos:@0.414179:0.413690:0.496827:0.413690:0.496827:0.397066:0.414179:0.397066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 a un lado de la :@0.496827:0.413690:0.615629:0.413690:0.615629:0.397301:0.496827:0.397301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igualdad los términos que contienen a la incógnita y en el otro :@0.159050:0.430286:0.615648:0.430286:0.615648:0.413897:0.159050:0.413897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lado quedarán los términos independientes. :@0.159050:0.446882:0.484533:0.446882:0.484533:0.430494:0.159050:0.430494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recordemos :@0.483907:0.446882:0.583545:0.446882:0.583545:0.430258:0.483907:0.430258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que :@0.582941:0.446882:0.615687:0.446882:0.615687:0.430494:0.582941:0.430494:0.000000:0.000000:0.000000:0.000000
los términos se transponen con la operación inversa. :@0.159050:0.463479:0.547425:0.463479:0.547425:0.447090:0.159050:0.447090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.732650:0.438476:0.742767:0.438476:0.742767:0.422903:0.732650:0.422903:0.000000
+:@0.771385:0.438476:0.781502:0.438476:0.781502:0.422903:0.771385:0.422903:0.000000
xx:@0.696219:0.437798:0.728228:0.437798:0.728228:0.421437:0.696219:0.421437:0.000000:0.000000
3:@0.682822:0.428836:0.691815:0.428836:0.691815:0.412448:0.682822:0.412448:0.000000
4:@0.682619:0.448282:0.691612:0.448282:0.691612:0.431893:0.682619:0.431893:0.000000
–:@0.707589:0.437785:0.716802:0.437785:0.716802:0.421396:0.707589:0.421396:0.000000
–:@0.746434:0.437785:0.755648:0.437785:0.755648:0.421396:0.746434:0.421396:0.000000
1 1 1:@0.759370:0.428823:0.821324:0.428809:0.821324:0.412420:0.759370:0.412434:0.000000:0.000000:0.000000:0.000000:0.000000
2 2 5:@0.758578:0.448268:0.820753:0.448254:0.820753:0.431865:0.758578:0.431879:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.798566:0.437771:0.807780:0.437771:0.807780:0.421382:0.798566:0.421382:0.000000
3. :@0.125806:0.516993:0.144547:0.516993:0.144547:0.499858:0.125806:0.499858:0.000000:0.000000:0.000000
Reducimos:@0.159050:0.516993:0.244167:0.516993:0.244167:0.500369:0.159050:0.500369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 términos semejantes en cada lado de la ecuación.:@0.244167:0.516993:0.611666:0.516993:0.611666:0.500604:0.244167:0.500604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.760744:0.498906:0.770861:0.498906:0.770861:0.483333:0.760744:0.483333:0.000000
=:@0.727445:0.535639:0.737562:0.535639:0.737562:0.520066:0.727445:0.520066:0.000000
x:@0.712574:0.489266:0.720037:0.489266:0.720037:0.472905:0.712574:0.472905:0.000000
x:@0.747384:0.489266:0.754847:0.489266:0.754847:0.472905:0.747384:0.472905:0.000000
x:@0.714085:0.525999:0.721548:0.525999:0.721548:0.509638:0.714085:0.509638:0.000000
3– 4:@0.702734:0.489266:0.745394:0.489266:0.745394:0.472877:0.702734:0.472877:0.000000:0.000000:0.000000:0.000000
4:@0.725050:0.508712:0.734042:0.508712:0.734042:0.492323:0.725050:0.492323:0.000000
–:@0.774528:0.498214:0.783742:0.498214:0.783742:0.481825:0.774528:0.481825:0.000000
1:@0.787243:0.489252:0.796236:0.489252:0.796236:0.472863:0.787243:0.472863:0.000000
5:@0.786672:0.508698:0.795664:0.508698:0.795664:0.492309:0.786672:0.492309:0.000000
–:@0.703121:0.525986:0.712335:0.525986:0.712335:0.509597:0.703121:0.509597:0.000000
4:@0.708409:0.545431:0.717402:0.545431:0.717402:0.529042:0.708409:0.529042:0.000000
–:@0.741229:0.534934:0.750443:0.534934:0.750443:0.518545:0.741229:0.518545:0.000000
1:@0.753944:0.525972:0.762937:0.525972:0.762937:0.509583:0.753944:0.509583:0.000000
5:@0.753373:0.545417:0.762366:0.545417:0.762366:0.529028:0.753373:0.529028:0.000000
4. :@0.125806:0.579767:0.144547:0.579767:0.144547:0.562631:0.125806:0.562631:0.000000:0.000000:0.000000
Despejamos:@0.159050:0.579767:0.252128:0.579767:0.252128:0.563143:0.159050:0.563143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la incógnita mediante transposición de términos.:@0.251943:0.579767:0.605916:0.579767:0.605916:0.563378:0.251943:0.563378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.744848:0.579659:0.754964:0.579659:0.754964:0.564086:0.744848:0.564086:0.000000
x:@0.732962:0.578981:0.740425:0.578981:0.740425:0.562620:0.732962:0.562620:0.000000
4:@0.760449:0.570023:0.769442:0.570023:0.769442:0.553634:0.760449:0.553634:0.000000
5:@0.760652:0.589468:0.769644:0.589468:0.769644:0.573079:0.760652:0.573079:0.000000
1. :@0.115209:0.699015:0.133950:0.699015:0.133950:0.681880:0.115209:0.681880:0.000000:0.000000:0.000000
Relaciona:@0.148452:0.699015:0.222697:0.699015:0.222697:0.682391:0.148452:0.682391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 cada ecuación con su solución, para ello en el paréntesis :@0.222697:0.699015:0.651453:0.699015:0.651453:0.682626:0.222697:0.682626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escribe:@0.652172:0.699015:0.707086:0.699015:0.707086:0.682391:0.652172:0.682391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el literal del ejercicio al :@0.707086:0.699015:0.883861:0.699015:0.883861:0.682626:0.707086:0.682626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que le corresponde la solución.:@0.148452:0.715612:0.377193:0.715612:0.377193:0.699223:0.148452:0.699223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Taller:@0.175844:0.659034:0.236739:0.659034:0.236739:0.625087:0.175844:0.625087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Formula y resuelve problemas aplicando las propiedades algebraicas de los números racionales y el planteamiento y resolución de :@0.256865:0.641780:0.877663:0.641780:0.877663:0.631351:0.256865:0.631351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones de primer grado con una incógnita. (Ref. I.M.4.1.4.):@0.256865:0.652342:0.544529:0.652342:0.544529:0.641913:0.256865:0.641913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.149833:0.749007:0.164741:0.749007:0.164741:0.732106:0.149833:0.732106:0.000000:0.000000
  :@0.164741:0.749007:0.172812:0.749007:0.172812:0.732618:0.164741:0.732618:0.000000:0.000000
=:@0.203122:0.750240:0.213239:0.750240:0.213239:0.734667:0.203122:0.734667:0.000000
x:@0.191236:0.749563:0.198699:0.749563:0.198699:0.733201:0.191236:0.733201:0.000000
3:@0.177839:0.740601:0.186832:0.740601:0.186832:0.724212:0.177839:0.724212:0.000000
4:@0.177627:0.760052:0.186619:0.760052:0.186619:0.743663:0.177627:0.743663:0.000000
6  :@0.216891:0.749563:0.233804:0.749007:0.233804:0.732618:0.216891:0.733174:0.000000:0.000000:0.000000
 :@0.270449:0.749007:0.274485:0.749007:0.274485:0.732618:0.270449:0.732618:0.000000
(   )  :@0.330752:0.749007:0.360697:0.749007:0.360697:0.732618:0.330752:0.732618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.376670:0.750845:0.386787:0.750845:0.386787:0.735272:0.376670:0.735272:0.000000
x:@0.364784:0.750167:0.372247:0.750167:0.372247:0.733806:0.364784:0.733806:0.000000
–:@0.390436:0.750167:0.399649:0.750167:0.399649:0.733778:0.390436:0.733778:0.000000
5:@0.402583:0.741209:0.411575:0.741209:0.411575:0.724820:0.402583:0.724820:0.000000
3:@0.402583:0.760655:0.411575:0.760655:0.411575:0.744266:0.402583:0.744266:0.000000
e):@0.599723:0.748698:0.614779:0.748698:0.614779:0.731797:0.599723:0.731797:0.000000:0.000000
   0,25:@0.614779:0.748698:0.657318:0.749563:0.657318:0.733174:0.614779:0.732309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.670070:0.750240:0.680187:0.750240:0.680187:0.734667:0.670070:0.734667:0.000000
x:@0.658184:0.749563:0.665647:0.749563:0.665647:0.733201:0.658184:0.733201:0.000000
5:@0.689106:0.740601:0.698098:0.740601:0.698098:0.724212:0.689106:0.724212:0.000000
16:@0.683785:0.760052:0.701568:0.760052:0.701568:0.743663:0.683785:0.743663:0.000000:0.000000
   :@0.706610:0.748698:0.724374:0.748698:0.724374:0.732309:0.706610:0.732309:0.000000:0.000000:0.000000
(   )  :@0.780652:0.748698:0.810597:0.748698:0.810597:0.732309:0.780652:0.732309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.826561:0.750899:0.836678:0.750899:0.836678:0.735326:0.826561:0.735326:0.000000
x:@0.814675:0.750221:0.822138:0.750221:0.822138:0.733860:0.814675:0.733860:0.000000
–:@0.840326:0.750221:0.849540:0.750221:0.849540:0.733833:0.840326:0.733833:0.000000
1:@0.853050:0.741263:0.862042:0.741263:0.862042:0.724874:0.853050:0.724874:0.000000
3:@0.852478:0.760709:0.861471:0.760709:0.861471:0.744320:0.852478:0.744320:0.000000
b):@0.149833:0.801054:0.166049:0.801054:0.166049:0.784153:0.149833:0.784153:0.000000:0.000000
  :@0.166049:0.801054:0.174120:0.801054:0.174120:0.784665:0.166049:0.784665:0.000000:0.000000
=:@0.202965:0.802403:0.213081:0.802403:0.213081:0.786830:0.202965:0.786830:0.000000
x:@0.191079:0.801726:0.198542:0.801726:0.198542:0.785364:0.191079:0.785364:0.000000
1:@0.178988:0.792766:0.187981:0.792766:0.187981:0.776377:0.178988:0.776377:0.000000
2:@0.178196:0.812211:0.187189:0.812211:0.187189:0.795822:0.178196:0.795822:0.000000
1:@0.218608:0.792766:0.227601:0.792766:0.227601:0.776377:0.218608:0.776377:0.000000
2:@0.217816:0.812211:0.226808:0.812211:0.226808:0.795822:0.217816:0.795822:0.000000
 :@0.231077:0.801054:0.235112:0.801054:0.235112:0.784665:0.231077:0.784665:0.000000
 :@0.270449:0.801054:0.274485:0.801054:0.274485:0.784665:0.270449:0.784665:0.000000
(   )  :@0.330752:0.801054:0.360697:0.801054:0.360697:0.784665:0.330752:0.784665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.376670:0.801709:0.386787:0.801709:0.386787:0.786136:0.376670:0.786136:0.000000
x:@0.364784:0.801031:0.372247:0.801031:0.372247:0.784670:0.364784:0.784670:0.000000
6:@0.390436:0.801031:0.399428:0.801031:0.399428:0.784643:0.390436:0.784643:0.000000
f):@0.599723:0.801179:0.612733:0.801179:0.612733:0.784278:0.599723:0.784278:0.000000:0.000000
  :@0.612733:0.801179:0.620804:0.801179:0.620804:0.784790:0.612733:0.784790:0.000000:0.000000
=:@0.657658:0.802660:0.667775:0.802660:0.667775:0.787087:0.657658:0.787087:0.000000
x:@0.644316:0.793020:0.651780:0.793020:0.651780:0.776659:0.644316:0.776659:0.000000
–3:@0.625252:0.793024:0.643459:0.793024:0.643459:0.776635:0.625252:0.776635:0.000000:0.000000
8:@0.634411:0.812469:0.643403:0.812469:0.643403:0.796080:0.634411:0.796080:0.000000
0,125   :@0.671060:0.801982:0.724375:0.801179:0.724375:0.784790:0.671060:0.785593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(   )  :@0.780644:0.801179:0.810589:0.801179:0.810589:0.784790:0.780644:0.784790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.826561:0.802403:0.836678:0.802403:0.836678:0.786830:0.826561:0.786830:0.000000
x:@0.814675:0.801726:0.822138:0.801726:0.822138:0.785364:0.814675:0.785364:0.000000
2:@0.841427:0.792766:0.850420:0.792766:0.850420:0.776377:0.841427:0.776377:0.000000
3:@0.841630:0.812211:0.850622:0.812211:0.850622:0.795822:0.841630:0.795822:0.000000
c):@0.149833:0.853225:0.163653:0.853225:0.163653:0.836324:0.149833:0.836324:0.000000:0.000000
  :@0.163653:0.853225:0.171725:0.853225:0.171725:0.836836:0.163653:0.836836:0.000000:0.000000
=:@0.190623:0.854992:0.200740:0.854992:0.200740:0.839419:0.190623:0.839419:0.000000
x:@0.177273:0.845356:0.184736:0.845356:0.184736:0.828995:0.177273:0.828995:0.000000
5:@0.176757:0.864802:0.185750:0.864802:0.185750:0.848413:0.176757:0.848413:0.000000
–  :@0.204390:0.854315:0.234392:0.853225:0.234392:0.836836:0.204390:0.837926:0.000000:0.000000:0.000000
1:@0.217112:0.845356:0.226105:0.845356:0.226105:0.828967:0.217112:0.828967:0.000000
3:@0.216541:0.864802:0.225533:0.864802:0.225533:0.848413:0.216541:0.848413:0.000000
 :@0.270449:0.853225:0.274485:0.853225:0.274485:0.836836:0.270449:0.836836:0.000000
(   )  :@0.330750:0.853225:0.360695:0.853225:0.360695:0.836836:0.330750:0.836836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.376670:0.853902:0.386787:0.853902:0.386787:0.838329:0.376670:0.838329:0.000000
x:@0.364784:0.853225:0.372247:0.853225:0.372247:0.836863:0.364784:0.836863:0.000000
8:@0.390067:0.853225:0.399060:0.853225:0.399060:0.836836:0.390067:0.836836:0.000000
g):@0.599723:0.853055:0.615829:0.853055:0.615829:0.836154:0.599723:0.836154:0.000000:0.000000
  :@0.615829:0.853055:0.623900:0.853055:0.623900:0.836666:0.615829:0.836666:0.000000:0.000000
=:@0.665257:0.854992:0.675374:0.854992:0.675374:0.839419:0.665257:0.839419:0.000000
x:@0.651907:0.845356:0.659370:0.845356:0.659370:0.828995:0.651907:0.828995:0.000000
0,5:@0.627988:0.845356:0.651059:0.845356:0.651059:0.828967:0.627988:0.828967:0.000000:0.000000:0.000000
2:@0.639929:0.864802:0.648922:0.864802:0.648922:0.848413:0.639929:0.848413:0.000000
1 :@0.677521:0.854305:0.691593:0.853055:0.691593:0.836666:0.677521:0.837916:0.000000:0.000000
 :@0.720339:0.853055:0.724374:0.853055:0.724374:0.836666:0.720339:0.836666:0.000000
(   )  :@0.780654:0.853055:0.810599:0.853055:0.810599:0.836666:0.780654:0.836666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.826561:0.853828:0.836678:0.853828:0.836678:0.838255:0.826561:0.838255:0.000000
x:@0.814675:0.853150:0.822138:0.853150:0.822138:0.836789:0.814675:0.836789:0.000000
4:@0.840695:0.853150:0.849687:0.853150:0.849687:0.836761:0.840695:0.836761:0.000000
d):@0.149833:0.906124:0.166086:0.906124:0.166086:0.889224:0.149833:0.889224:0.000000:0.000000
   –:@0.166086:0.906124:0.186349:0.907267:0.186349:0.890878:0.166086:0.889735:0.000000:0.000000:0.000000:0.000000
=:@0.214415:0.907945:0.224532:0.907945:0.224532:0.892372:0.214415:0.892372:0.000000
x:@0.202529:0.907267:0.209992:0.907267:0.209992:0.890906:0.202529:0.890906:0.000000
7:@0.189077:0.898309:0.198069:0.898309:0.198069:0.881920:0.189077:0.881920:0.000000
9:@0.189279:0.917754:0.198272:0.917754:0.198272:0.901365:0.189279:0.901365:0.000000
–:@0.228182:0.907267:0.237396:0.907267:0.237396:0.890878:0.228182:0.890878:0.000000
14:@0.239176:0.898309:0.256959:0.898309:0.256959:0.881920:0.239176:0.881920:0.000000:0.000000
3:@0.244723:0.917754:0.253716:0.917754:0.253716:0.901365:0.244723:0.901365:0.000000
   :@0.262943:0.906124:0.274484:0.906124:0.274484:0.889735:0.262943:0.889735:0.000000:0.000000:0.000000
(   )  :@0.330757:0.906124:0.360702:0.906124:0.360702:0.889735:0.330757:0.889735:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.376670:0.905545:0.386787:0.905545:0.386787:0.889972:0.376670:0.889972:0.000000
x:@0.364784:0.904867:0.372247:0.904867:0.372247:0.888506:0.364784:0.888506:0.000000
1:@0.388924:0.904867:0.397917:0.904867:0.397917:0.888478:0.388924:0.888478:0.000000
h):@0.599723:0.907653:0.615811:0.907653:0.615811:0.890752:0.599723:0.890752:0.000000:0.000000
  0,3:@0.615811:0.907653:0.649937:0.907774:0.649937:0.891385:0.615811:0.891264:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.641313:0.897723:0.648868:0.897723:0.648868:0.880974:0.641313:0.880974:0.000000
=:@0.663039:0.908452:0.673156:0.908452:0.673156:0.892879:0.663039:0.892879:0.000000
x:@0.651153:0.907774:0.658616:0.907774:0.658616:0.891413:0.651153:0.891413:0.000000
2:@0.678057:0.898812:0.687050:0.898812:0.687050:0.882423:0.678057:0.882423:0.000000
9:@0.677907:0.918265:0.686899:0.918265:0.686899:0.901876:0.677907:0.901876:0.000000
 :@0.692565:0.907653:0.696601:0.907653:0.696601:0.891264:0.692565:0.891264:0.000000
 :@0.720339:0.907653:0.724375:0.907653:0.724375:0.891264:0.720339:0.891264:0.000000
(   )  :@0.780649:0.907653:0.810594:0.907653:0.810594:0.891264:0.780649:0.891264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.826561:0.907945:0.836678:0.907945:0.836678:0.892372:0.826561:0.892372:0.000000
x:@0.814675:0.907267:0.822138:0.907267:0.822138:0.890906:0.814675:0.890906:0.000000
5:@0.842370:0.898309:0.851363:0.898309:0.851363:0.881920:0.842370:0.881920:0.000000
4:@0.842167:0.917754:0.851160:0.917754:0.851160:0.901365:0.842167:0.901365:0.000000
c:@0.337232:0.748484:0.345450:0.748484:0.345450:0.732095:0.337232:0.732095:0.000000
f:@0.789575:0.748484:0.794403:0.748484:0.794403:0.732095:0.789575:0.732095:0.000000
d:@0.336329:0.800790:0.346353:0.800790:0.346353:0.784401:0.336329:0.784401:0.000000
h:@0.787050:0.800790:0.796927:0.800790:0.796927:0.784401:0.787050:0.784401:0.000000
a:@0.337158:0.852087:0.345524:0.852087:0.345524:0.835698:0.337158:0.835698:0.000000
g:@0.786977:0.852087:0.797001:0.852087:0.797001:0.835698:0.786977:0.835698:0.000000
b:@0.336255:0.905665:0.346427:0.905665:0.346427:0.889276:0.336255:0.889276:0.000000
e:@0.787529:0.906924:0.796467:0.906924:0.796467:0.890535:0.787529:0.890535:0.000000