﻿148:@0.024814:0.963884:0.056738:0.963884:0.056738:0.945447:0.024814:0.945447:0.000000:0.000000:0.000000
M.4.1.55. :@0.096359:0.936830:0.144696:0.936830:0.144696:0.926075:0.096359:0.926075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolver un sistema de dos ecuaciones lineales con dos incógnitas de manera algebraica, utilizando los métodos de determinante (Cramer).:@0.144696:0.936830:0.795616:0.936830:0.795616:0.926858:0.144696:0.926858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sistemas de ecuaciones lineales :@0.305303:0.070161:0.769881:0.070161:0.769881:0.039433:0.305303:0.039433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con dos incógnitas. Método de Cramer:@0.305303:0.099079:0.860203:0.099079:0.860203:0.068351:0.305303:0.068351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 4:@0.124729:0.083964:0.219414:0.083964:0.219414:0.055923:0.124729:0.055923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El conjunto formado por  :@0.304744:0.211389:0.501033:0.211389:0.501033:0.195719:0.304744:0.195719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax by c:@0.508573:0.198465:0.595103:0.198465:0.599696:0.182795:0.513167:0.182795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax by c:@0.508573:0.219210:0.599603:0.219210:0.604196:0.203541:0.513167:0.203541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.517283:0.200469:0.522495:0.200469:0.522495:0.191387:0.517283:0.191387:0.000000
1:@0.556072:0.200469:0.561283:0.200469:0.561283:0.191387:0.556072:0.191387:0.000000
1:@0.597113:0.200469:0.602325:0.200469:0.602325:0.191387:0.597113:0.191387:0.000000
2:@0.517956:0.221212:0.523167:0.221212:0.523167:0.212131:0.517956:0.212131:0.000000
2:@0.558998:0.221212:0.564209:0.221212:0.564209:0.212131:0.558998:0.212131:0.000000
2:@0.602293:0.221212:0.607505:0.221212:0.607505:0.212131:0.602293:0.212131:0.000000
+:@0.534454:0.199143:0.544571:0.199143:0.544571:0.183570:0.534454:0.183570:0.000000
=:@0.575290:0.199143:0.585407:0.199143:0.585407:0.183570:0.575290:0.183570:0.000000
+:@0.536702:0.219888:0.546819:0.219888:0.546819:0.204315:0.536702:0.204315:0.000000
=:@0.579786:0.219888:0.589903:0.219888:0.589903:0.204315:0.579786:0.204315:0.000000
  es un sistema de ecuaciones lineales :@0.613085:0.211389:0.907098:0.211389:0.907098:0.195719:0.613085:0.195719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
compatibles determinados que tiene solución, por lo tanto, es aplicable la regla :@0.304735:0.241566:0.907114:0.241566:0.907114:0.225897:0.304735:0.225897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de Cramer.:@0.304735:0.258163:0.383880:0.258163:0.383880:0.242493:0.304735:0.242493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Vamos a encontrar la solución del sistema: :@0.304735:0.274413:0.618036:0.274413:0.618036:0.258744:0.304735:0.258744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.645211:0.265064:0.655466:0.265064:0.655466:0.249278:0.645211:0.249278:0.000000
= −:@0.689203:0.265064:0.714738:0.265064:0.714738:0.249278:0.689203:0.249278:0.000000:0.000000:0.000000
−:@0.645637:0.286094:0.655892:0.286094:0.655892:0.270308:0.645637:0.270308:0.000000
=−:@0.690693:0.286094:0.714001:0.286094:0.714001:0.270308:0.690693:0.270308:0.000000:0.000000
x:@0.631182:0.264377:0.639196:0.264377:0.643852:0.248493:0.635838:0.248493:0.000000
y:@0.658362:0.264377:0.666581:0.264377:0.671237:0.248493:0.663018:0.248493:0.000000
x:@0.631182:0.285407:0.639196:0.285407:0.643852:0.269523:0.635838:0.269523:0.000000
y:@0.675435:0.285407:0.683654:0.285407:0.688311:0.269523:0.680091:0.269523:0.000000
5:@0.623347:0.264377:0.632463:0.264377:0.632463:0.248493:0.623347:0.248493:0.000000
2:@0.717551:0.264377:0.726667:0.264377:0.726667:0.248493:0.717551:0.248493:0.000000
3:@0.623347:0.285407:0.632463:0.285407:0.632463:0.269523:0.623347:0.269523:0.000000
12:@0.657532:0.285407:0.675558:0.285407:0.675558:0.269523:0.657532:0.269523:0.000000:0.000000
39:@0.713834:0.285407:0.731860:0.285407:0.731860:0.269522:0.713834:0.269523:0.000000:0.000000
   :@0.735652:0.293267:0.747759:0.293267:0.747759:0.277597:0.735652:0.277597:0.000000:0.000000:0.000000
Para ello procederemos de la siguiente manera::@0.304740:0.316986:0.651876:0.316986:0.651876:0.301316:0.304740:0.301316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.304740:0.340705:0.314507:0.340705:0.314507:0.323569:0.304740:0.323569:0.000000:0.000000
Hallamos el determinante del sistema.:@0.365054:0.340705:0.644061:0.340705:0.644061:0.325035:0.365054:0.325035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Observamos que los números dentro de las barras son los coefi-:@0.428150:0.364424:0.903065:0.364424:0.903065:0.348754:0.428150:0.348754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cientes correspondientes a   y a .:@0.428150:0.381020:0.675114:0.381020:0.675114:0.365350:0.428150:0.365350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.629468:0.381200:0.636618:0.381200:0.636618:0.365447:0.629468:0.365447:0.000000
 :@0.661164:0.381020:0.664555:0.381020:0.664555:0.363912:0.661164:0.363912:0.000000
y:@0.664555:0.381200:0.671907:0.381200:0.671907:0.365447:0.664555:0.365447:0.000000
D:@0.305563:0.527616:0.317486:0.527616:0.322079:0.511947:0.310156:0.511947:0.000000
5:@0.349347:0.520111:0.358340:0.520111:0.358340:0.504442:0.349347:0.504442:0.000000
1:@0.385004:0.520111:0.393997:0.520111:0.393997:0.504442:0.385004:0.504442:0.000000
3:@0.349347:0.538063:0.358340:0.538063:0.358340:0.522393:0.349347:0.522393:0.000000
12:@0.384949:0.538063:0.402733:0.538067:0.402733:0.522397:0.384949:0.522393:0.000000:0.000000
=:@0.323439:0.528289:0.333556:0.528289:0.333556:0.512716:0.323439:0.512716:0.000000
−:@0.375000:0.538745:0.385117:0.538745:0.385117:0.523172:0.375000:0.523172:0.000000
 :@0.417365:0.546476:0.421401:0.546476:0.421401:0.530806:0.417365:0.530806:0.000000
= – 60  :@0.419503:0.527611:0.462973:0.527611:0.462973:0.511942:0.419503:0.511942:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.461936:0.526359:0.473859:0.526359:0.478452:0.510689:0.466530:0.510689:0.000000
5:@0.505721:0.518854:0.514713:0.518854:0.514713:0.503184:0.505721:0.503184:0.000000
1:@0.541378:0.518854:0.550371:0.518854:0.550371:0.503184:0.541378:0.503184:0.000000
3:@0.505721:0.536806:0.514713:0.536806:0.514713:0.521136:0.505721:0.521136:0.000000
12:@0.541323:0.536806:0.559107:0.536810:0.559107:0.521140:0.541323:0.521136:0.000000:0.000000
=:@0.479813:0.527032:0.489930:0.527032:0.489930:0.511459:0.479813:0.511459:0.000000
−:@0.531373:0.537487:0.541490:0.537487:0.541490:0.521914:0.531373:0.521914:0.000000
 :@0.573744:0.543961:0.577779:0.543961:0.577779:0.528291:0.573744:0.528291:0.000000
 =   –3.   Entonces: :@0.575881:0.527614:0.691633:0.527614:0.691633:0.511944:0.575881:0.511944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.589849:0.527794:0.598437:0.527794:0.598437:0.512041:0.589849:0.512041:0.000000
D:@0.690955:0.527616:0.702878:0.527616:0.707471:0.511947:0.695548:0.511947:0.000000
5:@0.734739:0.520111:0.743732:0.520111:0.743732:0.504442:0.734739:0.504442:0.000000
1:@0.770397:0.520111:0.779389:0.520111:0.779389:0.504442:0.770397:0.504442:0.000000
3:@0.734739:0.538063:0.743732:0.538063:0.743732:0.522393:0.734739:0.522393:0.000000
12:@0.770341:0.538063:0.788126:0.538067:0.788126:0.522397:0.770341:0.522393:0.000000:0.000000
=:@0.708832:0.528289:0.718948:0.528289:0.718948:0.512716:0.708832:0.512716:0.000000
−:@0.760392:0.538745:0.770509:0.538745:0.770509:0.523172:0.760392:0.523172:0.000000
 :@0.803131:0.543961:0.807167:0.543961:0.807167:0.528291:0.803131:0.528291:0.000000
 = – 60 – 3 = – 63  :@0.805637:0.527614:0.917161:0.527614:0.917161:0.511944:0.805637:0.511944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Diagonal principal (+):@0.348511:0.562435:0.505313:0.562435:0.505313:0.547071:0.348511:0.547071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Diagonal secundaria (–):@0.488829:0.488920:0.659234:0.488920:0.659234:0.473556:0.488829:0.473556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinante:@0.319826:0.422424:0.430906:0.422424:0.430906:0.405524:0.319826:0.405524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Un determinante de segundo orden es igual al producto de :@0.430906:0.422424:0.891761:0.422424:0.891761:0.406754:0.430906:0.406754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los términos de la diagonal principal menos el producto de los términos de la :@0.316472:0.439021:0.895094:0.439021:0.895094:0.423351:0.316472:0.423351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diagonal secundaria.:@0.316472:0.455617:0.467798:0.455617:0.467798:0.439947:0.316472:0.439947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reflexiona:@0.311168:0.166144:0.394996:0.166144:0.394996:0.149243:0.311168:0.149243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. ¿Qué sistemas de ecuaciones son incompatibles? :@0.394996:0.166144:0.767232:0.166144:0.767232:0.150474:0.394996:0.150474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.344861:0.139515:0.470369:0.139515:0.470369:0.122615:0.344861:0.122615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.305563:0.373338:0.317486:0.373338:0.322079:0.357668:0.310156:0.357668:0.000000
5:@0.349347:0.365834:0.358340:0.365834:0.358340:0.350165:0.349347:0.350165:0.000000
1:@0.385004:0.365834:0.393997:0.365834:0.393997:0.350165:0.385004:0.350165:0.000000
3:@0.349347:0.383786:0.358340:0.383786:0.358340:0.368116:0.349347:0.368116:0.000000
12:@0.384949:0.383786:0.402733:0.383790:0.402733:0.368120:0.384949:0.368116:0.000000:0.000000
=:@0.323439:0.374012:0.333556:0.374012:0.333556:0.358439:0.323439:0.358439:0.000000
−:@0.374998:0.384468:0.385115:0.384468:0.385115:0.368895:0.374998:0.368895:0.000000
• :@0.304744:0.598973:0.314510:0.598973:0.314510:0.581837:0.304744:0.581837:0.000000:0.000000
Hallamos el determinante de   (:@0.328478:0.598973:0.559336:0.598973:0.559336:0.583303:0.328478:0.583303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.542954:0.598973:0.550417:0.598973:0.550417:0.582612:0.542954:0.582612:0.000000
Δ:@0.559336:0.599651:0.570614:0.599651:0.570614:0.584078:0.559336:0.584078:0.000000
x:@0.570614:0.598973:0.578077:0.598973:0.578077:0.582612:0.570614:0.582612:0.000000
). :@0.578077:0.598973:0.590203:0.598973:0.590203:0.583303:0.578077:0.583303:0.000000:0.000000:0.000000
Este determinante equivale a colocar  Este determinante equivale a colocar :@0.304744:0.622692:0.907682:0.622692:0.907682:0.607022:0.304744:0.607022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en  la  columna  de  los  coeficientes  de  en  la  columna  de  los  coeficientes  de :@0.304744:0.639289:0.907675:0.639289:0.907675:0.623619:0.304744:0.623619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.304744:0.655885:0.312207:0.655885:0.312207:0.639524:0.304744:0.639524:0.000000
 los términos independientes de las :@0.312207:0.655885:0.598202:0.655885:0.598202:0.640215:0.312207:0.640215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones.:@0.304744:0.672481:0.390615:0.672481:0.390615:0.656812:0.304744:0.656812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.494307:0.708183:0.466094:0.708183:0.466094:0.688250:0.494307:0.688250:0.000000
):@0.528656:0.708183:0.500444:0.708183:0.500444:0.688250:0.528656:0.688250:0.000000
Δ =:@0.307727:0.705729:0.257222:0.705729:0.257222:0.690156:0.307727:0.690156:0.000000:0.000000:0.000000
=:@0.449026:0.705729:0.370303:0.705729:0.370303:0.690156:0.449026:0.690156:0.000000
=:@0.537866:0.705729:0.459143:0.705729:0.459143:0.690156:0.537866:0.690156:0.000000
x:@0.320692:0.705052:0.328155:0.705052:0.332951:0.688690:0.325488:0.688690:0.000000
–2:@0.366622:0.697979:0.384829:0.697979:0.384829:0.681590:0.366622:0.681590:0.000000:0.000000
1:@0.416095:0.697979:0.425087:0.697979:0.425087:0.681590:0.416095:0.681590:0.000000
–39 –12:@0.362015:0.715931:0.433454:0.715931:0.433454:0.699542:0.362015:0.699542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
24 – –39:@0.462114:0.705047:0.528107:0.705047:0.528107:0.688658:0.462114:0.688658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
63:@0.551311:0.705047:0.569094:0.705047:0.569094:0.688658:0.551311:0.688658:0.000000:0.000000
 :@0.571107:0.727643:0.575142:0.727643:0.575142:0.711973:0.571107:0.711973:0.000000
• :@0.304735:0.762274:0.314502:0.762274:0.314502:0.745138:0.304735:0.745138:0.000000:0.000000
Hallamos el valor de  , dividiendo el :@0.328470:0.762274:0.598177:0.762274:0.598177:0.746604:0.328470:0.746604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.482470:0.762274:0.489933:0.762274:0.489933:0.745913:0.482470:0.745913:0.000000
valor de   para el valor del determi-:@0.328470:0.778870:0.594158:0.778870:0.594158:0.763201:0.328470:0.763201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Δ:@0.390350:0.779548:0.401628:0.779548:0.401628:0.763975:0.390350:0.763975:0.000000
x:@0.401628:0.778870:0.409091:0.778870:0.409091:0.762509:0.401628:0.762509:0.000000
nante D. :@0.328470:0.795467:0.393757:0.795467:0.393757:0.779797:0.328470:0.779797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.304735:0.843140:0.308771:0.843140:0.308771:0.827470:0.304735:0.827470:0.000000
Es decir,:@0.328470:0.829309:0.386810:0.829309:0.386810:0.813640:0.328470:0.813640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.404784:0.829987:0.414901:0.829987:0.414901:0.814414:0.404784:0.814414:0.000000
Δ:@0.419710:0.821426:0.430988:0.821426:0.430988:0.805853:0.419710:0.805853:0.000000
=:@0.474360:0.829987:0.438555:0.829987:0.438555:0.814414:0.474360:0.814414:0.000000
=:@0.520282:0.829987:0.484477:0.829987:0.484477:0.814414:0.520282:0.814414:0.000000
;:@0.445149:0.829309:0.448355:0.829309:0.448355:0.812921:0.445149:0.812921:0.000000
...:@0.449553:0.829309:0.458841:0.829309:0.458841:0.812921:0.449553:0.812921:0.000000:0.000000:0.000000
63:@0.493890:0.820748:0.511673:0.820748:0.511673:0.804360:0.493890:0.804360:0.000000:0.000000
–63:@0.489278:0.840271:0.516275:0.840271:0.516275:0.823882:0.489278:0.823882:0.000000:0.000000:0.000000
–1:@0.533724:0.829309:0.551930:0.829309:0.551930:0.812921:0.533724:0.812921:0.000000:0.000000
x:@0.389531:0.829309:0.396994:0.829309:0.401790:0.812948:0.394327:0.812948:0.000000
x:@0.429780:0.820748:0.437243:0.820748:0.442039:0.804387:0.434576:0.804387:0.000000
D:@0.422511:0.840271:0.434047:0.840271:0.438843:0.823909:0.427307:0.823909:0.000000
x:@0.459105:0.829309:0.466568:0.829309:0.471365:0.812948:0.463901:0.812948:0.000000
• :@0.614243:0.598973:0.624009:0.598973:0.624009:0.581837:0.614243:0.581837:0.000000:0.000000
Hallamos el determinante de   (:@0.637977:0.598973:0.867383:0.598973:0.867383:0.583303:0.637977:0.583303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.850982:0.598973:0.858464:0.598973:0.858464:0.582612:0.850982:0.582612:0.000000
Δ:@0.867383:0.599651:0.878661:0.599651:0.878661:0.584078:0.867383:0.584078:0.000000
y:@0.878661:0.598973:0.886142:0.598973:0.886142:0.582612:0.878661:0.582612:0.000000
).:@0.886142:0.598973:0.894232:0.598973:0.894232:0.583303:0.886142:0.583303:0.000000:0.000000
y:@0.614243:0.655885:0.621724:0.655885:0.621724:0.639524:0.614243:0.639524:0.000000
 los  términos independientes  de las :@0.621724:0.655885:0.907701:0.655885:0.907701:0.640215:0.621724:0.640215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones::@0.614243:0.672481:0.700318:0.672481:0.700318:0.656812:0.614243:0.656812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.799357:0.708183:0.779952:0.708183:0.779952:0.688250:0.799357:0.688250:0.000000
):@0.824897:0.708183:0.805493:0.708183:0.805493:0.688250:0.824897:0.688250:0.000000
Δ =:@0.617228:0.705729:0.558388:0.705729:0.558388:0.690156:0.617228:0.690156:0.000000:0.000000:0.000000
=:@0.736860:0.705729:0.652683:0.705729:0.652683:0.690156:0.736860:0.690156:0.000000
=:@0.834132:0.705729:0.749955:0.705729:0.749955:0.690156:0.834132:0.690156:0.000000
y:@0.627313:0.705052:0.634794:0.705052:0.639590:0.688690:0.632109:0.688690:0.000000
5:@0.668269:0.697979:0.677262:0.697979:0.677262:0.681590:0.668269:0.681590:0.000000
–2:@0.698476:0.697979:0.716682:0.697979:0.716682:0.681590:0.698476:0.681590:0.000000:0.000000
3 –39:@0.668269:0.715931:0.720917:0.715931:0.720917:0.699542:0.668269:0.699542:0.000000:0.000000:0.000000:0.000000:0.000000
–195– –6:@0.750309:0.705047:0.824364:0.705047:0.824364:0.688658:0.750309:0.688658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–189:@0.847568:0.705047:0.883355:0.705047:0.883355:0.688658:0.847568:0.688658:0.000000:0.000000:0.000000:0.000000
• :@0.614243:0.756475:0.624009:0.756475:0.624009:0.739340:0.614243:0.739340:0.000000:0.000000
Hallamos el valor de  , dividiendo el :@0.637977:0.756475:0.907629:0.756475:0.907629:0.740806:0.637977:0.740806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.791867:0.756475:0.799348:0.756475:0.799348:0.740114:0.791867:0.740114:0.000000
valor de   para el valor del determi-:@0.637977:0.773072:0.903684:0.773072:0.903684:0.757402:0.637977:0.757402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Δ:@0.699857:0.773749:0.711135:0.773749:0.711135:0.758176:0.699857:0.758176:0.000000
y:@0.711135:0.773072:0.718617:0.773072:0.718617:0.756710:0.711135:0.756710:0.000000
nante D. :@0.637977:0.789668:0.703265:0.789668:0.703265:0.773998:0.637977:0.773998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.614243:0.837341:0.618278:0.837341:0.618278:0.821671:0.614243:0.821671:0.000000
Es decir,:@0.637977:0.823511:0.696317:0.823511:0.696317:0.807841:0.637977:0.807841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.696319:0.837341:0.700355:0.837341:0.700355:0.821671:0.696319:0.821671:0.000000
=:@0.719471:0.824195:0.729588:0.824195:0.729588:0.808622:0.719471:0.808622:0.000000
Δ:@0.734397:0.815634:0.745675:0.815634:0.745675:0.800061:0.734397:0.800061:0.000000
=:@0.789047:0.824195:0.743660:0.824195:0.743660:0.808622:0.789047:0.808622:0.000000
=:@0.844542:0.824195:0.799155:0.824195:0.799155:0.808622:0.844542:0.808622:0.000000
;:@0.759836:0.823517:0.763042:0.823517:0.763042:0.807128:0.759836:0.807128:0.000000
...:@0.764240:0.823517:0.773528:0.823517:0.773528:0.807128:0.764240:0.807128:0.000000:0.000000:0.000000
–189:@0.803970:0.814956:0.839757:0.814956:0.839757:0.798567:0.803970:0.798567:0.000000:0.000000:0.000000:0.000000
–63:@0.808783:0.834478:0.835780:0.834478:0.835780:0.818089:0.808783:0.818089:0.000000:0.000000:0.000000
3:@0.857626:0.823517:0.866619:0.823517:0.866619:0.807128:0.857626:0.807128:0.000000
y:@0.704218:0.823517:0.711700:0.823517:0.716496:0.807156:0.709014:0.807156:0.000000
y:@0.744467:0.814956:0.751949:0.814956:0.756745:0.798595:0.749263:0.798595:0.000000
D:@0.737198:0.834478:0.748734:0.834478:0.753530:0.818117:0.741994:0.818117:0.000000
x:@0.773792:0.823517:0.781256:0.823517:0.786052:0.807156:0.778588:0.807156:0.000000
Solución:@0.305230:0.857718:0.365890:0.857718:0.365890:0.842605:0.305230:0.842605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La solución del sistema es    –1, = 3, estas satisfacen las ecuaciones del sistema.:@0.305230:0.881758:0.873188:0.881758:0.873188:0.866088:0.305230:0.866088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.488454:0.881938:0.495604:0.881938:0.495604:0.866185:0.488454:0.866185:0.000000
= :@0.498904:0.881758:0.513333:0.881758:0.513333:0.864857:0.498904:0.864857:0.000000:0.000000
   :@0.533272:0.881758:0.547516:0.881758:0.547516:0.864857:0.533272:0.864857:0.000000:0.000000:0.000000
y:@0.536717:0.881938:0.544070:0.881938:0.544070:0.866185:0.536717:0.866185:0.000000
Para aplicar la regla de :@0.106213:0.214923:0.258089:0.214923:0.258089:0.200678:0.106213:0.200678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cramer a un sistema :@0.106213:0.230011:0.245776:0.230011:0.245776:0.215765:0.106213:0.215765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de ecuaciones, este :@0.106213:0.245098:0.240097:0.245098:0.240097:0.230853:0.106213:0.230853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
debe ser compatible :@0.106213:0.260186:0.247704:0.260186:0.247704:0.245941:0.106213:0.245941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinado, es decir, :@0.106213:0.275273:0.256849:0.275273:0.256849:0.261028:0.106213:0.261028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
debe cumplir dos :@0.106213:0.290361:0.227434:0.290361:0.227434:0.276116:0.106213:0.276116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
condiciones::@0.106213:0.305449:0.190344:0.305449:0.190344:0.291203:0.106213:0.291203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.106213:0.327665:0.118275:0.327665:0.118275:0.312552:0.106213:0.312552:0.000000:0.000000
 El número de :@0.118275:0.327665:0.214935:0.327665:0.214935:0.313420:0.118275:0.313420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones es :@0.122966:0.342753:0.220012:0.342753:0.220012:0.328508:0.122966:0.328508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igual al número de :@0.122966:0.357840:0.252091:0.357840:0.252091:0.343595:0.122966:0.343595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incógnitas.:@0.122966:0.372928:0.195051:0.372928:0.195051:0.358683:0.122966:0.358683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. :@0.106213:0.395145:0.121826:0.395145:0.121826:0.380032:0.106213:0.380032:0.000000:0.000000:0.000000
El determinante :@0.121826:0.395145:0.232004:0.395145:0.232004:0.380899:0.121826:0.380899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la matriz de :@0.122966:0.410232:0.225087:0.410232:0.225087:0.395987:0.122966:0.395987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los coeficientes es :@0.122966:0.425320:0.247200:0.425320:0.247200:0.411075:0.122966:0.411075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distinto de cero.:@0.122966:0.440407:0.229928:0.440407:0.229928:0.426162:0.122966:0.426162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinante:@0.106213:0.462624:0.207195:0.462624:0.207195:0.447260:0.106213:0.447260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un determinante es :@0.106213:0.484840:0.242543:0.484840:0.242543:0.470595:0.106213:0.470595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una magnitud escalar, :@0.106213:0.499928:0.256380:0.499928:0.256380:0.485683:0.106213:0.485683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es decir, un número :@0.106213:0.515016:0.241839:0.515016:0.241839:0.500770:0.106213:0.500770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asignado a una matriz, y :@0.106213:0.530103:0.270687:0.530103:0.270687:0.515858:0.106213:0.515858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiene la siguiente forma::@0.106213:0.545191:0.266195:0.545191:0.266195:0.530946:0.106213:0.530946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.180138:0.578832:0.188415:0.578832:0.188415:0.566091:0.180138:0.566091:0.000000
−:@0.225128:0.578832:0.233405:0.578832:0.233405:0.566091:0.225128:0.566091:0.000000
11:@0.126520:0.571286:0.134923:0.571286:0.134923:0.563874:0.126520:0.563874:0.000000:0.000000
12:@0.156905:0.571286:0.165308:0.571286:0.165308:0.563874:0.156905:0.563874:0.000000:0.000000
21:@0.126799:0.588825:0.135202:0.588825:0.135202:0.581413:0.126799:0.581413:0.000000:0.000000
22:@0.157184:0.588825:0.165587:0.588825:0.165587:0.581413:0.157184:0.581413:0.000000:0.000000
11 22:@0.197847:0.579915:0.221564:0.579915:0.221564:0.572503:0.197847:0.572503:0.000000:0.000000:0.000000:0.000000:0.000000
21 12:@0.242893:0.579915:0.266044:0.579915:0.266044:0.572503:0.242893:0.572503:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.118200:0.569650:0.125783:0.569650:0.129707:0.556264:0.122123:0.556264:0.000000
a:@0.148595:0.569650:0.156179:0.569650:0.160103:0.556264:0.152519:0.556264:0.000000
a:@0.117913:0.587190:0.125497:0.587190:0.129421:0.573803:0.121837:0.573803:0.000000
a:@0.148309:0.587190:0.155892:0.587190:0.159816:0.573803:0.152233:0.573803:0.000000
aa:@0.189532:0.578284:0.211861:0.578284:0.215785:0.564898:0.193456:0.564898:0.000000:0.000000
aa:@0.234012:0.578278:0.256914:0.578278:0.260838:0.564892:0.237936:0.564892:0.000000:0.000000
¿Sabías que?:@0.138784:0.190412:0.240652:0.190412:0.240652:0.173511:0.138784:0.173511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa:@0.105962:0.729588:0.157107:0.729588:0.157107:0.714475:0.105962:0.714475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el siguiente :@0.157107:0.729588:0.241353:0.729588:0.241353:0.715343:0.157107:0.715343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enlace: :@0.105962:0.744675:0.156403:0.744675:0.156403:0.730430:0.105962:0.730430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.156403:0.744675:0.159452:0.744675:0.159452:0.729550:0.156403:0.729550:0.000000
lynk.ec/10m14:@0.105962:0.759763:0.204114:0.759763:0.204114:0.744638:0.105962:0.744638:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Imprime:@0.105962:0.781980:0.164461:0.781980:0.164461:0.766867:0.105962:0.766867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las páginas :@0.164293:0.781980:0.243030:0.781980:0.243030:0.767734:0.164293:0.767734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 a la 5, :@0.105962:0.797067:0.157157:0.797067:0.157157:0.782822:0.105962:0.782822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
practica:@0.156989:0.797067:0.211584:0.797067:0.211584:0.781954:0.156989:0.781954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.211585:0.797067:0.215254:0.797067:0.215254:0.782822:0.211585:0.782822:0.000000
sistemas de ecuaciones :@0.105962:0.812155:0.262796:0.812155:0.262796:0.797910:0.105962:0.797910:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.105962:0.827242:0.116834:0.827242:0.116834:0.812997:0.105962:0.812997:0.000000:0.000000
refuerza:@0.116666:0.827242:0.172586:0.827242:0.172586:0.812130:0.116666:0.812130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 todos los :@0.172418:0.827242:0.238892:0.827242:0.238892:0.812997:0.172418:0.812997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
métodos.:@0.105962:0.842330:0.167625:0.842330:0.167625:0.828085:0.105962:0.828085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia digital:@0.120771:0.703957:0.271672:0.703957:0.271672:0.687056:0.120771:0.687056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aquellos que no tienen solución:@0.311168:0.173266:0.462384:0.173266:0.462384:0.163294:0.311168:0.163294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000