23:@0.922460:0.966765:0.939432:0.966765:0.939432:0.950778:0.922460:0.950778:0.000000:0.000000
Ejercicio resuelto:@0.108233:0.106382:0.226211:0.106382:0.226211:0.089595:0.108233:0.089595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Consideramos el sistema de ecuaciones lineales :@0.108233:0.128924:0.447278:0.128924:0.447278:0.112426:0.108233:0.112426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 – 2 = 5:@0.454188:0.121905:0.532714:0.121905:0.532714:0.105407:0.454188:0.105407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.462684:0.122020:0.474301:0.122020:0.474301:0.105552:0.462684:0.105552:0.000000:0.000000
y :@0.497439:0.122020:0.509268:0.122020:0.509268:0.105552:0.497439:0.105552:0.000000:0.000000
,:@0.532714:0.122020:0.535565:0.122020:0.535565:0.105552:0.532714:0.105552:0.000000
4 + 7 = –5,:@0.454188:0.139256:0.546276:0.139256:0.546276:0.122758:0.454188:0.122758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.462684:0.139371:0.474301:0.139371:0.474301:0.122902:0.462684:0.122902:0.000000:0.000000
y :@0.497747:0.139371:0.509576:0.139371:0.509576:0.122902:0.497747:0.122902:0.000000:0.000000
en el que :@0.108242:0.163619:0.176345:0.163619:0.176345:0.147121:0.108242:0.147121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x, y:@0.176056:0.163735:0.198038:0.163735:0.198038:0.147266:0.176056:0.147266:0.000000:0.000000:0.000000:0.000000
 son incógnitas. Para hallar la solución de este sistema de :@0.198038:0.163619:0.599849:0.163619:0.599849:0.147121:0.198038:0.147121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones lineales, aplicamos el método de eliminación gaussiana. :@0.108242:0.180970:0.599959:0.180970:0.599959:0.164472:0.108242:0.164472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ponemos   = –   . Multiplicamos a cada uno de los términos de la :@0.108242:0.202687:0.599919:0.202673:0.599919:0.186175:0.108242:0.186189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.179582:0.202803:0.187827:0.202803:0.187827:0.186334:0.179582:0.186334:0.000000
4:@0.227704:0.195140:0.236200:0.195140:0.236200:0.178642:0.227704:0.178642:0.000000
3:@0.227704:0.211479:0.236200:0.211479:0.236200:0.194981:0.227704:0.194981:0.000000
primera ecuación por   y sumamos término a término con la segunda. :@0.108241:0.224043:0.599980:0.224043:0.599980:0.207546:0.108241:0.207546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.261896:0.224159:0.270142:0.224159:0.270142:0.207690:0.261896:0.207690:0.000000
Resulta el sistema de ecuaciones triangular superior  29:@0.108241:0.273247:0.520749:0.274536:0.520749:0.258038:0.108241:0.256750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.527085:0.281206:0.534772:0.281206:0.534772:0.264737:0.527085:0.264737:0.000000
 = –       , :@0.534772:0.281090:0.598711:0.281090:0.598711:0.264593:0.534772:0.264593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.507899:0.290875:0.516395:0.290875:0.516395:0.274377:0.507899:0.274377:0.000000
35  :@0.569792:0.274536:0.599903:0.273264:0.599903:0.256766:0.569792:0.258038:0.000000:0.000000:0.000000:0.000000
3:@0.574126:0.290875:0.582622:0.290875:0.582622:0.274377:0.574126:0.274377:0.000000
3 – 2 = 5:@0.500572:0.258082:0.579097:0.258082:0.579097:0.241584:0.500572:0.241584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.509068:0.258197:0.520685:0.258197:0.520685:0.241729:0.509068:0.241729:0.000000:0.000000
y :@0.543822:0.258197:0.555651:0.258197:0.555651:0.241729:0.543822:0.241729:0.000000:0.000000
,:@0.579097:0.258197:0.581948:0.258197:0.581948:0.241729:0.579097:0.241729:0.000000
cuya solución es   = – :@0.108235:0.297150:0.268248:0.297150:0.268248:0.280652:0.108235:0.280652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.228275:0.297266:0.235961:0.297266:0.235961:0.280797:0.228275:0.280797:0.000000
35:@0.269788:0.289612:0.286973:0.289612:0.286973:0.273115:0.269788:0.273115:0.000000:0.000000
29:@0.269788:0.305951:0.286973:0.305951:0.286973:0.289453:0.269788:0.289453:0.000000:0.000000
 , y con este se obtiene  ::@0.289959:0.297145:0.464117:0.297145:0.464117:0.280648:0.289959:0.280648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.453887:0.297261:0.461362:0.297261:0.461362:0.280792:0.453887:0.280792:0.000000
x:@0.108230:0.352523:0.115705:0.352523:0.115705:0.336055:0.108230:0.336055:0.000000
 = :@0.115705:0.352408:0.134796:0.352408:0.134796:0.335910:0.115705:0.335910:0.000000:0.000000:0.000000
5 + 2:@0.137523:0.344871:0.173799:0.344871:0.173799:0.328373:0.137523:0.328373:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.173896:0.344986:0.181583:0.344986:0.181583:0.328518:0.173896:0.328518:0.000000
3:@0.155266:0.361209:0.163762:0.361209:0.163762:0.344712:0.155266:0.344712:0.000000
 = :@0.184222:0.352404:0.203314:0.352404:0.203314:0.335906:0.184222:0.335906:0.000000:0.000000:0.000000
5 + 2 – :@0.206898:0.336221:0.266024:0.336221:0.266024:0.319723:0.206898:0.319723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.243271:0.345142:0.247413:0.345142:0.247413:0.328673:0.243271:0.328673:0.000000
35:@0.268634:0.328677:0.285819:0.328677:0.285819:0.312179:0.268634:0.312179:0.000000:0.000000
29:@0.268634:0.345015:0.285819:0.345015:0.285819:0.328518:0.268634:0.328518:0.000000:0.000000
3:@0.247558:0.361354:0.256054:0.361354:0.256054:0.344856:0.247558:0.344856:0.000000
 = :@0.300306:0.352404:0.319398:0.352404:0.319398:0.335906:0.300306:0.335906:0.000000:0.000000:0.000000
25:@0.322015:0.344871:0.339200:0.344871:0.339200:0.328373:0.322015:0.328373:0.000000:0.000000
29:@0.322015:0.361209:0.339200:0.361209:0.339200:0.344712:0.322015:0.344712:0.000000:0.000000
.:@0.341801:0.352404:0.344556:0.352404:0.344556:0.335906:0.341801:0.335906:0.000000
 :@0.108229:0.369755:0.112371:0.369755:0.112371:0.353257:0.108229:0.353257:0.000000
Así, la solución del sistema de ecuaciones lineales es   = :@0.108229:0.391472:0.497339:0.391472:0.497339:0.374974:0.108229:0.374974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.471581:0.391588:0.479056:0.391588:0.479056:0.375119:0.471581:0.375119:0.000000
25:@0.499095:0.383935:0.516280:0.383935:0.516280:0.367437:0.499095:0.367437:0.000000:0.000000
29:@0.499095:0.400274:0.516280:0.400274:0.516280:0.383776:0.499095:0.383776:0.000000:0.000000
 ,   = – :@0.518880:0.391468:0.568103:0.391468:0.568103:0.374971:0.518880:0.374971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.528301:0.391584:0.535988:0.391584:0.535988:0.375115:0.528301:0.375115:0.000000
35:@0.569887:0.383935:0.587072:0.383935:0.587072:0.367437:0.569887:0.367437:0.000000:0.000000
29:@0.569887:0.400274:0.587072:0.400274:0.587072:0.383776:0.569887:0.383776:0.000000:0.000000
 .:@0.589673:0.391468:0.595760:0.391468:0.595760:0.374971:0.589673:0.374971:0.000000:0.000000
Ejercicio resuelto de un sistema de ecuaciones con infinitas soluciones:@0.108215:0.426546:0.595776:0.426546:0.595776:0.409759:0.108215:0.409759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Consideremos el sistema de ecuaciones lineales :@0.108215:0.449087:0.447031:0.449087:0.447031:0.432589:0.108215:0.432589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 – 4 = –8:@0.453957:0.442079:0.542982:0.442079:0.542982:0.425581:0.453957:0.425581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.462453:0.442195:0.474070:0.442195:0.474070:0.425726:0.462453:0.425726:0.000000:0.000000
y :@0.497208:0.442195:0.509037:0.442195:0.509037:0.425726:0.497208:0.425726:0.000000:0.000000
,:@0.542982:0.442195:0.545833:0.442195:0.545833:0.425726:0.542982:0.425726:0.000000
3 – 6 = –12.:@0.453957:0.459430:0.553250:0.459430:0.553250:0.442932:0.453957:0.442932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.462453:0.459545:0.474070:0.459545:0.474070:0.443077:0.462453:0.443077:0.000000:0.000000
y :@0.496707:0.459545:0.508536:0.459545:0.508536:0.443077:0.496707:0.443077:0.000000:0.000000
De la primera ecuación obtenemos   = :@0.108223:0.488102:0.389010:0.488102:0.389010:0.471604:0.108223:0.471604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.362443:0.488218:0.369918:0.488218:0.369918:0.471749:0.362443:0.471749:0.000000
–8 + 4:@0.389832:0.480614:0.436512:0.480614:0.436512:0.464116:0.389832:0.464116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.436512:0.480730:0.444199:0.480730:0.444199:0.464261:0.436512:0.464261:0.000000
2:@0.412720:0.497965:0.421216:0.497965:0.421216:0.481467:0.412720:0.481467:0.000000
 .:@0.444912:0.488104:0.451809:0.488104:0.451809:0.471606:0.444912:0.471606:0.000000:0.000000
Reemplacemos en la segunda ecuación. Obtenemos lo siguiente: :@0.108232:0.522805:0.570421:0.522805:0.570421:0.506308:0.108232:0.506308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 :@0.108232:0.563377:0.120870:0.563377:0.120870:0.546879:0.108232:0.546879:0.000000:0.000000
–8 + 4:@0.127904:0.557087:0.174872:0.557087:0.174872:0.540589:0.127904:0.540589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.174969:0.557202:0.182656:0.557202:0.182656:0.540734:0.174969:0.540734:0.000000
2:@0.150983:0.573425:0.159479:0.573425:0.159479:0.556928:0.150983:0.556928:0.000000
 –6  = –12   – 24 + 12  – 12  = –24.:@0.190373:0.563373:0.461992:0.563373:0.461992:0.546876:0.190373:0.546876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.213511:0.563489:0.221198:0.563489:0.221198:0.547020:0.213511:0.547020:0.000000
y:@0.361504:0.563489:0.369191:0.563489:0.369191:0.547020:0.361504:0.547020:0.000000
y:@0.404967:0.563489:0.412653:0.563489:0.412653:0.547020:0.404967:0.547020:0.000000
De esta última ecuación obtenemos –24 = –24, lo que es obvio: pero :@0.108224:0.602094:0.599937:0.602094:0.599937:0.585597:0.108224:0.585597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿qué interpretación tiene esta igualdad? Notemos que si la primera :@0.108224:0.619445:0.599904:0.619445:0.599904:0.602947:0.108224:0.602947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación se divide por 2 y la segunda por 3, se obtiene el sistema :@0.108224:0.636796:0.599848:0.636796:0.599848:0.620298:0.108224:0.620298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguiente :@0.108224:0.663198:0.175383:0.663198:0.175383:0.646700:0.108224:0.646700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.182302:0.656305:0.193919:0.656305:0.193919:0.639837:0.182302:0.639837:0.000000:0.000000
– 2 = –4:@0.193919:0.656190:0.262831:0.656190:0.262831:0.639692:0.193919:0.639692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.217057:0.656305:0.228885:0.656305:0.228885:0.639837:0.217057:0.639837:0.000000:0.000000
,:@0.262831:0.656305:0.265682:0.656305:0.265682:0.639837:0.262831:0.639837:0.000000
x :@0.182302:0.673656:0.193919:0.673656:0.193919:0.657187:0.182302:0.657187:0.000000:0.000000
– 2 = –4.:@0.193919:0.673541:0.265586:0.673541:0.265586:0.657043:0.193919:0.657043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.217057:0.673656:0.228885:0.673656:0.228885:0.657187:0.217057:0.657187:0.000000:0.000000
Es decir que se reduce a una sola ecuación   – 2 = –4. De esta ecua-:@0.108227:0.697904:0.595773:0.697904:0.595773:0.681406:0.108227:0.681406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.412593:0.698020:0.420068:0.698020:0.420068:0.681551:0.412593:0.681551:0.000000
y :@0.447232:0.698020:0.459061:0.698020:0.459061:0.681551:0.447232:0.681551:0.000000:0.000000
ción, obtenemos   = 2  – 4. Para obtener diferentes soluciones  ,      , :@0.108227:0.715255:0.599914:0.715254:0.599914:0.698756:0.108227:0.698757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.228036:0.715370:0.235511:0.715370:0.235511:0.698902:0.228036:0.698902:0.000000
y:@0.259862:0.715370:0.267549:0.715370:0.267549:0.698902:0.259862:0.698902:0.000000
x y:@0.537625:0.715370:0.558013:0.715370:0.558013:0.698902:0.537625:0.698902:0.000000:0.000000:0.000000
:@0.560537:0.715038:0.576585:0.715038:0.576585:0.700391:0.560537:0.700391:0.000000
R:@0.579108:0.714285:0.593017:0.714285:0.593017:0.700838:0.579108:0.700838:0.000000
 :@0.595772:0.715254:0.599914:0.715254:0.599914:0.698756:0.595772:0.698756:0.000000
asignamos un valor a  , y calculamos  . Así,   = –1, y obtenemos  :@0.108246:0.732605:0.599914:0.732605:0.599914:0.716107:0.108246:0.716107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.271998:0.732720:0.279685:0.732720:0.279685:0.716252:0.271998:0.716252:0.000000
x:@0.390172:0.732720:0.397646:0.732720:0.397646:0.716252:0.390172:0.716252:0.000000
y:@0.439047:0.732720:0.446734:0.732720:0.446734:0.716252:0.439047:0.716252:0.000000
x:@0.108246:0.750071:0.115721:0.750071:0.115721:0.733602:0.108246:0.733602:0.000000
 = 2 (–1) – 4 = –6. Para   = 3, se tiene   = 2 3 – 4 = 2; así  :@0.115721:0.749956:0.599897:0.749957:0.599897:0.733459:0.115721:0.733458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.148578:0.748118:0.165961:0.748118:0.165961:0.739414:0.148578:0.739414:0.000000:0.000000:0.000000:0.000000
y:@0.321083:0.750072:0.328770:0.750072:0.328770:0.733604:0.321083:0.733604:0.000000
x:@0.434864:0.750072:0.442339:0.750072:0.442339:0.733604:0.434864:0.733604:0.000000
   :@0.475228:0.748118:0.492611:0.748118:0.492611:0.739414:0.475228:0.739414:0.000000:0.000000:0.000000:0.000000
sucesivamente.:@0.108229:0.767308:0.214939:0.767308:0.214939:0.750810:0.108229:0.750810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicio resuelto de un sistema de ecuaciones que no tiene solución:@0.108229:0.802385:0.588067:0.802385:0.588067:0.785598:0.108229:0.785598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Consideremos el sistema de ecuaciones lineales :@0.108229:0.826184:0.447045:0.826184:0.447045:0.809687:0.108229:0.809687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 – 4 = 0:@0.453957:0.817908:0.532482:0.817908:0.532482:0.801410:0.453957:0.801410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.462453:0.818023:0.474070:0.818023:0.474070:0.801555:0.462453:0.801555:0.000000:0.000000
y :@0.497208:0.818023:0.509037:0.818023:0.509037:0.801555:0.497208:0.801555:0.000000:0.000000
,:@0.532482:0.818023:0.535334:0.818023:0.535334:0.801555:0.532482:0.801555:0.000000
3 – 6 = 2,:@0.453957:0.835258:0.535237:0.835258:0.535237:0.818761:0.453957:0.818761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.462453:0.835374:0.474070:0.835374:0.474070:0.818905:0.462453:0.818905:0.000000:0.000000
y :@0.497208:0.835374:0.509037:0.835374:0.509037:0.818905:0.497208:0.818905:0.000000:0.000000
donde  ,       son las incógnitas. Resolvamos este sistema de ecua-:@0.108242:0.860880:0.595861:0.860880:0.595861:0.844382:0.108242:0.844382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.159411:0.860995:0.181604:0.860995:0.181604:0.844527:0.159411:0.844527:0.000000:0.000000:0.000000
:@0.185881:0.860663:0.201929:0.860663:0.201929:0.846016:0.185881:0.846016:0.000000
R:@0.206206:0.859911:0.220116:0.859911:0.220116:0.846464:0.206206:0.846464:0.000000
ciones. De la primera ecuación se tiene   = 2 . Reemplazando en la :@0.108281:0.878230:0.599926:0.878230:0.599926:0.861733:0.108281:0.861733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.396196:0.878346:0.403671:0.878346:0.403671:0.861877:0.396196:0.861877:0.000000
y:@0.433609:0.878346:0.441296:0.878346:0.441296:0.861877:0.433609:0.861877:0.000000
segunda ecuación, obtenemos: 3   2 – 6  = 2. Luego, 0 = 2, lo que es :@0.108281:0.895581:0.599945:0.895582:0.599945:0.879085:0.108281:0.879083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.343269:0.893844:0.352667:0.893844:0.352667:0.879498:0.343269:0.879498:0.000000
y :@0.365065:0.895698:0.376893:0.895698:0.376893:0.879229:0.365065:0.879229:0.000000:0.000000
y:@0.399559:0.895698:0.407246:0.895698:0.407246:0.879229:0.399559:0.879229:0.000000
un absurdo. El sistema de ecuaciones no tiene solución.:@0.108230:0.912933:0.499831:0.912933:0.499831:0.896435:0.108230:0.896435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.684804:0.104916:0.782426:0.104916:0.782426:0.089444:0.684804:0.089444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.684804:0.117484:0.768866:0.117484:0.768866:0.102012:0.684804:0.102012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El fundamento del :@0.685042:0.141959:0.817088:0.141959:0.817088:0.126896:0.685042:0.126896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
método de eliminación gaussia-:@0.638498:0.157801:0.844988:0.157801:0.844988:0.142738:0.638498:0.142738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
na consiste en transformar un :@0.638498:0.173643:0.834803:0.173643:0.834803:0.158580:0.638498:0.158580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistema de ecuaciones lineales a :@0.638498:0.189485:0.847571:0.189485:0.847571:0.174422:0.638498:0.174422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
uno triangular superior. Para el :@0.638498:0.205327:0.838917:0.205327:0.838917:0.190264:0.638498:0.190264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
efecto, asumimos que   ≠ 0. :@0.638498:0.221169:0.828457:0.221169:0.828457:0.206106:0.638498:0.206106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.784249:0.221274:0.792446:0.221274:0.792446:0.206238:0.784249:0.206238:0.000000
1:@0.792448:0.224160:0.796970:0.224160:0.796970:0.215379:0.792448:0.215379:0.000000
Se define   = – :@0.638503:0.248496:0.737657:0.248496:0.737657:0.233433:0.638503:0.233433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.700208:0.248602:0.707737:0.248602:0.707737:0.233565:0.700208:0.233565:0.000000
a:@0.741115:0.237302:0.747933:0.237302:0.747933:0.222956:0.741115:0.222956:0.000000
2:@0.747933:0.240454:0.752456:0.240454:0.752456:0.231672:0.747933:0.231672:0.000000
a:@0.737480:0.257182:0.745677:0.257182:0.745677:0.242145:0.737480:0.242145:0.000000
1:@0.745677:0.260068:0.750199:0.260068:0.750199:0.251286:0.745677:0.251286:0.000000
, se multiplica  :@0.755913:0.248501:0.849263:0.248501:0.849263:0.233438:0.755913:0.233438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cada término de la primera :@0.638499:0.274904:0.818390:0.274904:0.818390:0.259841:0.638499:0.259841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación por  y se suma tér-:@0.638499:0.290746:0.828278:0.290746:0.828278:0.275683:0.638499:0.275683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k :@0.727892:0.290852:0.739202:0.290852:0.739202:0.275815:0.727892:0.275815:0.000000:0.000000
mino a término con la segunda. :@0.638499:0.306588:0.848169:0.306588:0.848169:0.291525:0.638499:0.291525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Entonces obtenemos: :@0.638499:0.322430:0.782387:0.322430:0.782387:0.307367:0.638499:0.307367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a x + b y = c ,:@0.645414:0.344582:0.733649:0.344582:0.733649:0.329545:0.645414:0.329545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.653611:0.347469:0.658133:0.347469:0.658133:0.338687:0.653611:0.338687:0.000000
1:@0.690920:0.347469:0.695442:0.347469:0.695442:0.338687:0.690920:0.338687:0.000000
1:@0.726524:0.347469:0.731046:0.347469:0.731046:0.338687:0.726524:0.338687:0.000000
(–:@0.645417:0.360318:0.660439:0.360318:0.660439:0.345255:0.645417:0.345255:0.000000:0.000000
kb   b y :@0.660439:0.360424:0.727280:0.360424:0.727280:0.345387:0.660439:0.345387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.676109:0.363311:0.680632:0.363311:0.680632:0.354529:0.676109:0.354529:0.000000
+  ) = –:@0.684412:0.360318:0.750517:0.360318:0.750517:0.345255:0.684412:0.345255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.706523:0.363311:0.711046:0.363311:0.711046:0.354529:0.706523:0.354529:0.000000
kc:@0.750517:0.360424:0.764272:0.360424:0.764272:0.345387:0.750517:0.345387:0.000000:0.000000
1:@0.764272:0.363311:0.768794:0.363311:0.768794:0.354529:0.764272:0.354529:0.000000
 +  ,:@0.768793:0.360318:0.799823:0.360318:0.799823:0.345255:0.768793:0.345255:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.786225:0.360424:0.792786:0.360424:0.792786:0.345387:0.786225:0.345387:0.000000
2:@0.792786:0.363311:0.797309:0.363311:0.797309:0.354529:0.792786:0.354529:0.000000
que es un sistema de ecuacio-:@0.638505:0.387447:0.831904:0.387447:0.831904:0.372384:0.638505:0.372384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nes lineales triangular superior. :@0.638505:0.403289:0.839346:0.403289:0.839346:0.388226:0.638505:0.388226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Nota que: :@0.638505:0.419131:0.706578:0.419131:0.706578:0.404068:0.638505:0.404068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.638505:0.441112:0.648092:0.441112:0.648092:0.426049:0.638505:0.426049:0.000000
ka  + a  = – :@0.648092:0.441218:0.728691:0.441221:0.728691:0.426185:0.648092:0.426181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.663500:0.444109:0.668022:0.444109:0.668022:0.435327:0.663500:0.435327:0.000000
2:@0.693719:0.444109:0.698242:0.444109:0.698242:0.435327:0.693719:0.435327:0.000000
a:@0.732323:0.429916:0.739142:0.429916:0.739142:0.415571:0.732323:0.415571:0.000000
2:@0.739142:0.433070:0.743664:0.433070:0.743664:0.424288:0.739142:0.424288:0.000000
a:@0.728690:0.449796:0.736887:0.449796:0.736887:0.434760:0.728690:0.434760:0.000000
1:@0.736887:0.452684:0.741409:0.452684:0.741409:0.443902:0.736887:0.443902:0.000000
 a  + a  = :@0.747298:0.441221:0.811521:0.441221:0.811521:0.426185:0.747298:0.426185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.759276:0.444109:0.763799:0.444109:0.763799:0.435327:0.759276:0.435327:0.000000
2:@0.789498:0.444109:0.794020:0.444109:0.794020:0.435327:0.789498:0.435327:0.000000
– a  + a:@0.638506:0.468166:0.689869:0.468172:0.689869:0.453135:0.638506:0.453129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.659647:0.471059:0.664169:0.471059:0.664169:0.462277:0.659647:0.462277:0.000000
2:@0.689868:0.471059:0.694390:0.471059:0.694390:0.462277:0.689868:0.462277:0.000000
 = 0. Por esta razón, el :@0.694389:0.468066:0.838485:0.468066:0.838485:0.453003:0.694389:0.453003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
término en   no aparece en la :@0.638506:0.483908:0.834562:0.483908:0.834562:0.468845:0.638506:0.468845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.714618:0.484014:0.721443:0.484014:0.721443:0.468977:0.714618:0.468977:0.000000
segunda ecuación. Este sistema :@0.638506:0.499750:0.843461:0.499750:0.843461:0.484687:0.638506:0.484687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triangular superior se resuelve :@0.638506:0.515592:0.834351:0.515592:0.834351:0.500529:0.638506:0.500529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del modo antes explicado. :@0.638506:0.531434:0.812890:0.531434:0.812890:0.516371:0.638506:0.516371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuenta:@0.638506:0.554827:0.689359:0.554827:0.689359:0.539355:0.638506:0.539355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 todas las operaciones :@0.689359:0.554405:0.836232:0.554405:0.836232:0.539342:0.689359:0.539342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que realizas sin incluir el cálculo :@0.638506:0.570247:0.847014:0.570247:0.847014:0.555184:0.638506:0.555184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
precedente. El número total de :@0.638506:0.586089:0.843532:0.586089:0.843532:0.571026:0.638506:0.571026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
operaciones elementales para :@0.638506:0.601931:0.834422:0.601931:0.834422:0.586868:0.638506:0.586868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtener la solución es 9.:@0.638506:0.617773:0.794264:0.617773:0.794264:0.602710:0.638506:0.602710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando   = 0, escribimos el :@0.638506:0.635397:0.826382:0.635397:0.826382:0.620333:0.638506:0.620334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.694354:0.635503:0.702551:0.635503:0.702551:0.620466:0.694354:0.620466:0.000000
1:@0.702548:0.638388:0.707070:0.638388:0.707070:0.629607:0.702548:0.629607:0.000000
sistema de ecuaciones en la :@0.638505:0.651239:0.820173:0.651239:0.820173:0.636175:0.638505:0.636175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
forma:@0.638505:0.667081:0.677326:0.667081:0.677326:0.652017:0.638505:0.652017:0.000000:0.000000:0.000000:0.000000:0.000000
a x + b y = c ,:@0.645414:0.691429:0.735853:0.691429:0.735853:0.676393:0.645414:0.676393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.653611:0.694317:0.658133:0.694317:0.658133:0.685535:0.653611:0.685535:0.000000
2:@0.690920:0.694317:0.695442:0.694317:0.695442:0.685535:0.690920:0.685535:0.000000
2 :@0.726524:0.694317:0.733251:0.694317:0.733251:0.685535:0.726524:0.685535:0.000000:0.000000
          :@0.645405:0.707166:0.683224:0.707166:0.683224:0.692103:0.645405:0.692103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b y  c:@0.683224:0.707271:0.727227:0.707271:0.727227:0.692235:0.683224:0.692235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.691692:0.710159:0.696215:0.710159:0.696215:0.701377:0.691692:0.701377:0.000000
=   ,:@0.707016:0.707166:0.738044:0.707166:0.738044:0.692103:0.707016:0.692103:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.727226:0.710159:0.731748:0.710159:0.731748:0.701377:0.727226:0.701377:0.000000
que es un sistema de ecuacio-:@0.638503:0.734295:0.831901:0.734295:0.831901:0.719232:0.638503:0.719232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nes triangular superior.:@0.638503:0.750137:0.784867:0.750137:0.784867:0.735074:0.638503:0.735074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000