64:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
Un sistema de ecuaciones lineales o sistema lineal es un conjunto de ecuaciones de primer grado que :@0.115209:0.167757:0.883934:0.167757:0.883934:0.151368:0.115209:0.151368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
deben verificarse simultáneamente.:@0.115209:0.184353:0.376728:0.184353:0.376728:0.167964:0.115209:0.167964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los sistemas de ecuaciones lineales se dicen de orden   ×   cuando están formados por   ecuaciones  :@0.115209:0.208072:0.883936:0.208072:0.883936:0.191683:0.115209:0.191683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.522110:0.208072:0.531618:0.208072:0.531618:0.191711:0.522110:0.191711:0.000000
m:@0.552331:0.208072:0.566962:0.208072:0.566962:0.191711:0.552331:0.191711:0.000000
n:@0.782601:0.208072:0.792109:0.208072:0.792109:0.191711:0.782601:0.191711:0.000000
y   incógnitas. Un sistema 2 × 2 consta de dos ecuaciones y dos incógnitas.:@0.115209:0.224668:0.671167:0.224668:0.671167:0.208279:0.115209:0.208279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.127353:0.224668:0.141984:0.224668:0.141984:0.208307:0.127353:0.208307:0.000000
Hallar la solución de un sistema de ecuaciones lineales consiste en encontrar una solución común a todas :@0.115209:0.248387:0.884001:0.248387:0.884001:0.231998:0.115209:0.231998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las ecuaciones del sistema. Las soluciones de un sistema 2 × 2, cuando existen, están determinadas por :@0.115209:0.264984:0.883934:0.264984:0.883934:0.248595:0.115209:0.248595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la intersección de las rectas que describen la solución de cada ecuación lineal con dos incógnitas en el :@0.115209:0.281580:0.883899:0.281580:0.883899:0.265191:0.115209:0.265191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistema. Al analizar un sistema de ecuaciones lineales, podemos obtener::@0.115209:0.298176:0.648311:0.298176:0.648311:0.281788:0.115209:0.281788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i) :@0.115209:0.321895:0.129767:0.321895:0.129767:0.304760:0.115209:0.304760:0.000000:0.000000:0.000000
Sistema :@0.148452:0.321895:0.209743:0.321895:0.209743:0.305507:0.148452:0.305507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
compatible determinado:@0.210646:0.321895:0.403085:0.321895:0.403085:0.305271:0.210646:0.305271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: cuando ambas rectas son secantes y tienen un único punto en :@0.403085:0.321895:0.883859:0.321895:0.883859:0.305507:0.403085:0.305507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
común; el sistema tiene solución única, que es el punto de intersección de ambas rectas.:@0.148452:0.338492:0.797448:0.338492:0.797448:0.322103:0.148452:0.322103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ii) :@0.115209:0.362211:0.134816:0.362211:0.134816:0.345075:0.115209:0.345075:0.000000:0.000000:0.000000:0.000000
Sistema :@0.148452:0.362211:0.209743:0.362211:0.209743:0.345822:0.148452:0.345822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
compatible indeterminado:@0.210167:0.362211:0.416667:0.362211:0.416667:0.345587:0.210167:0.345587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: cuando ambas rectas son coincidentes; el sistema tiene infini-:@0.416667:0.362211:0.879882:0.362211:0.879882:0.345822:0.416667:0.345822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tas soluciones.:@0.148452:0.378807:0.254354:0.378807:0.254354:0.362418:0.148452:0.362418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iii) :@0.115209:0.402526:0.139865:0.402526:0.139865:0.385390:0.115209:0.385390:0.000000:0.000000:0.000000:0.000000:0.000000
Sistema :@0.148452:0.402526:0.209743:0.402526:0.209743:0.386137:0.148452:0.386137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incompatible:@0.211972:0.402526:0.313914:0.402526:0.313914:0.385902:0.211972:0.385902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: cuando ambas rectas son paralelas y no tienen ningún punto en común; :@0.313914:0.402526:0.883973:0.402526:0.883973:0.386137:0.313914:0.386137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.879901:0.402526:0.883936:0.402526:0.883936:0.386137:0.879901:0.386137:0.000000
el sistema no tiene solución.:@0.148452:0.419123:0.355319:0.419123:0.355319:0.402734:0.148452:0.402734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El punto  1, –1  satisface la primera ecuación: :@0.115209:0.581131:0.444509:0.581131:0.444509:0.564742:0.115209:0.564742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.179429:0.581808:0.185566:0.581808:0.185566:0.566236:0.179429:0.566236:0.000000
):@0.219251:0.581808:0.225388:0.581808:0.225388:0.566236:0.219251:0.566236:0.000000
() ( ):@0.446342:0.584940:0.506653:0.584940:0.506653:0.565007:0.446342:0.565007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.465920:0.582485:0.432621:0.582485:0.432621:0.566912:0.465920:0.566912:0.000000
=:@0.509323:0.582485:0.476024:0.582485:0.476024:0.566912:0.509323:0.566912:0.000000
⇔ =:@0.533457:0.582485:0.576928:0.582485:0.576928:0.566912:0.533457:0.566912:0.000000:0.000000:0.000000
1:@0.451639:0.581807:0.460631:0.581807:0.460631:0.566137:0.451639:0.566137:0.000000
–1:@0.484882:0.581807:0.503089:0.581807:0.503089:0.566137:0.484882:0.566137:0.000000:0.000000
0:@0.521999:0.581807:0.530992:0.581807:0.530992:0.566137:0.521999:0.566137:0.000000
0 0:@0.554928:0.581807:0.588473:0.581807:0.588473:0.566137:0.554928:0.566137:0.000000:0.000000:0.000000
; por tanto es una de las soluciones de la :@0.591357:0.581157:0.883970:0.581157:0.883970:0.564768:0.591357:0.564768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
primera ecuación. Sin embargo,  1, –1  no satisface la segunda ecuación: 1– –1 11 20  ; por tanto, :@0.115205:0.597754:0.883918:0.597754:0.883918:0.581365:0.115205:0.581365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.350598:0.598431:0.356735:0.598431:0.356735:0.582858:0.350598:0.582858:0.000000
):@0.390863:0.598431:0.396999:0.598431:0.396999:0.582858:0.390863:0.582858:0.000000
() ():@0.646394:0.602143:0.707076:0.602143:0.707076:0.582209:0.646394:0.582209:0.000000:0.000000:0.000000:0.000000:0.000000
=+ =≠:@0.709738:0.599689:0.783209:0.599689:0.783209:0.584116:0.709738:0.584116:0.000000:0.000000:0.000000:0.000000:0.000000
no es solución de la segunda ecuación. Esto significa que  1, –1  no es solución del sistema de ecuaciones :@0.115209:0.614350:0.883899:0.614350:0.883899:0.597961:0.115209:0.597961:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.531876:0.615028:0.538012:0.615028:0.538012:0.599455:0.531876:0.599455:0.000000
):@0.571846:0.615028:0.577982:0.615028:0.577982:0.599455:0.571846:0.599455:0.000000
porque no satisface ambas ecuaciones.:@0.115209:0.630946:0.401700:0.630946:0.401700:0.614557:0.115209:0.614557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El punto  0, 0  satisface ambas ecuaciones: :@0.115209:0.654665:0.431536:0.654665:0.431536:0.638276:0.115209:0.638276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.180938:0.655343:0.187075:0.655343:0.187075:0.639770:0.180938:0.639770:0.000000
):@0.212302:0.655343:0.218439:0.655343:0.218439:0.639770:0.212302:0.639770:0.000000
( ) ( ):@0.117826:0.684033:0.175896:0.684033:0.175896:0.664100:0.117826:0.664100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) ( ):@0.272996:0.684033:0.331432:0.684033:0.331432:0.664100:0.272996:0.664100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.141646:0.681579:0.114852:0.681579:0.114852:0.666006:0.141646:0.666006:0.000000
=:@0.178556:0.681579:0.151762:0.681579:0.151762:0.666006:0.178556:0.666006:0.000000
⇔ =:@0.202696:0.681579:0.148099:0.681579:0.148099:0.666006:0.202696:0.666006:0.000000:0.000000:0.000000
=:@0.334089:0.681579:0.246152:0.681579:0.246152:0.666006:0.334089:0.666006:0.000000
⇔ =:@0.358224:0.681579:0.401695:0.681579:0.401695:0.666006:0.358224:0.666006:0.000000:0.000000:0.000000
0:@0.124267:0.680901:0.133259:0.680901:0.133259:0.665232:0.124267:0.665232:0.000000
0:@0.160232:0.680901:0.169225:0.680901:0.169225:0.665232:0.160232:0.665232:0.000000
0:@0.191224:0.680901:0.200216:0.680901:0.200216:0.665232:0.191224:0.665232:0.000000
0 0; 0 – 0:@0.224152:0.680901:0.324752:0.680901:0.324752:0.665232:0.224152:0.665232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
...:@0.262363:0.680901:0.271651:0.680901:0.271651:0.665232:0.262363:0.665232:0.000000:0.000000:0.000000
0:@0.346751:0.680901:0.355744:0.680901:0.355744:0.665232:0.346751:0.665232:0.000000
0 0;:@0.379679:0.680901:0.416966:0.680901:0.416966:0.665232:0.379679:0.665232:0.000000:0.000000:0.000000:0.000000
 por eso es solución del sistema de ecuaciones.:@0.419271:0.680901:0.763795:0.680901:0.763795:0.664512:0.419271:0.664512:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.378314:0.452628:0.535436:0.452628:0.535436:0.434191:0.378314:0.434191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dado el sistema de ecuaciones lineales con dos incógnitas,  :@0.378314:0.472475:0.883931:0.472475:0.883931:0.456086:0.378314:0.456086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
analicemos determinemos:@0.378314:0.489071:0.594175:0.489071:0.594175:0.472447:0.378314:0.472447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.465126:0.489071:0.481306:0.489071:0.481306:0.472682:0.465126:0.472682:0.000000:0.000000:0.000000
 la solución gráficamente.:@0.594175:0.489071:0.781304:0.489071:0.781304:0.472682:0.594175:0.472682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+=:@0.402134:0.514518:0.437386:0.514518:0.437386:0.498945:0.402134:0.498945:0.000000:0.000000
=:@0.427619:0.535263:0.437736:0.535263:0.437736:0.519690:0.427619:0.519690:0.000000
⎧:@0.380924:0.513425:0.390027:0.513425:0.390027:0.497852:0.380924:0.497852:0.000000
⎨:@0.380924:0.525015:0.390027:0.525015:0.390027:0.509442:0.380924:0.509442:0.000000
⎩:@0.380924:0.536964:0.390027:0.536964:0.390027:0.521391:0.380924:0.521391:0.000000
0:@0.439929:0.513854:0.448922:0.513854:0.448922:0.498184:0.439929:0.498184:0.000000
–:@0.402918:0.534586:0.412132:0.534586:0.412132:0.518916:0.402918:0.518916:0.000000
0:@0.440289:0.534586:0.449282:0.534586:0.449282:0.518916:0.440289:0.518916:0.000000
x y:@0.391558:0.513840:0.423226:0.513840:0.423226:0.498447:0.391558:0.498447:0.000000:0.000000:0.000000
xy:@0.391558:0.534586:0.423585:0.534586:0.423585:0.519192:0.391558:0.519192:0.000000:0.000000
15:@0.048404:0.122645:0.082107:0.122645:0.082107:0.065614:0.048404:0.065614:0.000000:0.000000
Sistemas de ecuaciones lineales:@0.115891:0.141978:0.591826:0.141978:0.591826:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.54. Reconocer la intersección de dos rectas como la solución grafica de un sistema de dos ecuaciones lineales con dos incógnitas.:@0.125388:0.074999:0.756136:0.074999:0.756136:0.064570:0.125388:0.064570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dibujamos:@0.498931:0.721473:0.582297:0.721473:0.582297:0.704849:0.498931:0.704849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la solución de cada ecuación, :@0.582297:0.721473:0.811648:0.721473:0.811648:0.705084:0.582297:0.705084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
observa-:@0.812956:0.721473:0.879902:0.721473:0.879902:0.704849:0.812956:0.704849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mos:@0.498931:0.738070:0.531714:0.738070:0.531714:0.721446:0.498931:0.721446:0.000000:0.000000:0.000000
 que ambas rectas se cortan en el punto (0, 0).:@0.531714:0.738070:0.867902:0.738070:0.867902:0.721681:0.531714:0.721681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Como no existe otro punto común entre ambas :@0.498931:0.761789:0.883958:0.761789:0.883958:0.745400:0.498931:0.745400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.879904:0.761789:0.883939:0.761789:0.883939:0.745400:0.879904:0.745400:0.000000
rectas, la solución del sistema de ecuaciones es única::@0.498931:0.778385:0.879957:0.778385:0.879957:0.761996:0.498931:0.761996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.628814:0.804244:0.642119:0.804244:0.642119:0.787495:0.628814:0.787495:0.000000
{:@0.525316:0.806827:0.534161:0.806827:0.534161:0.786271:0.525316:0.786271:0.000000
}:@0.739648:0.806827:0.748493:0.806827:0.748493:0.786271:0.739648:0.786271:0.000000
(:@0.534059:0.806504:0.540195:0.806504:0.540195:0.786571:0.534059:0.786571:0.000000
):@0.569293:0.806504:0.575429:0.806504:0.575429:0.786571:0.569293:0.786571:0.000000
=:@0.513432:0.804050:0.523548:0.804050:0.523548:0.788477:0.513432:0.788477:0.000000
∈:@0.612333:0.804050:0.625472:0.804050:0.625472:0.788477:0.612333:0.788477:0.000000
∧= ∧=:@0.643991:0.804050:0.728353:0.804050:0.728353:0.788477:0.643991:0.788477:0.000000:0.000000:0.000000:0.000000:0.000000
;.:@0.551116:0.803373:0.558450:0.803373:0.558450:0.786984:0.551116:0.786984:0.000000:0.000000
:,:@0.577652:0.803373:0.597609:0.803373:0.597609:0.786984:0.577652:0.786984:0.000000:0.000000
0:@0.682160:0.803373:0.691153:0.803373:0.691153:0.786984:0.682160:0.786984:0.000000
0  :@0.730901:0.803373:0.755928:0.803373:0.755928:0.786984:0.730901:0.786984:0.000000:0.000000:0.000000
S:@0.501914:0.803373:0.509986:0.803373:0.509986:0.787011:0.501914:0.787011:0.000000
x yx y:@0.541958:0.803373:0.607929:0.803373:0.607929:0.787011:0.541958:0.787011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.657978:0.803373:0.665441:0.803373:0.665441:0.787011:0.657978:0.787011:0.000000
y:@0.706719:0.803373:0.714201:0.803373:0.714201:0.787011:0.706719:0.787011:0.000000
o simplemente:   =  0; 0:@0.498936:0.827092:0.684611:0.827092:0.684611:0.810703:0.498936:0.810703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.617276:0.827092:0.625348:0.827092:0.625348:0.810730:0.617276:0.810730:0.000000
{(:@0.644402:0.827769:0.659383:0.827769:0.659383:0.812196:0.644402:0.812196:0.000000:0.000000
)}:@0.684611:0.827769:0.699592:0.827769:0.699592:0.812196:0.684611:0.812196:0.000000:0.000000
Este caso corresponde a un sistema de ecuaciones :@0.498936:0.850811:0.883924:0.850811:0.883924:0.834422:0.498936:0.834422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
compatible con una única solución.:@0.498936:0.867407:0.760645:0.867407:0.760645:0.851018:0.498936:0.851018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x – y = 0:@0.339493:0.779938:0.384108:0.779938:0.384108:0.768019:0.339493:0.768019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–3:@0.189660:0.821036:0.202901:0.821036:0.202901:0.809117:0.189660:0.809117:0.000000:0.000000
–3:@0.260154:0.876126:0.273395:0.876126:0.273395:0.864207:0.260154:0.864207:0.000000:0.000000
–1 0:@0.245465:0.821399:0.272993:0.821399:0.272993:0.809479:0.245465:0.809479:0.000000:0.000000:0.000000:0.000000
–1:@0.261105:0.833267:0.274346:0.833267:0.274346:0.821348:0.261105:0.821348:0.000000:0.000000
–2:@0.218273:0.821036:0.231514:0.821036:0.231514:0.809117:0.218273:0.809117:0.000000:0.000000
–2:@0.262419:0.853384:0.275660:0.853384:0.275660:0.841465:0.262419:0.841465:0.000000:0.000000
1:@0.305305:0.821399:0.311845:0.821399:0.311845:0.809479:0.305305:0.809479:0.000000
1:@0.268704:0.791203:0.275244:0.791203:0.275244:0.779284:0.268704:0.779284:0.000000
3:@0.359676:0.821399:0.366217:0.821399:0.366217:0.809479:0.359676:0.809479:0.000000
3:@0.268704:0.748455:0.275244:0.748455:0.275244:0.736536:0.268704:0.736536:0.000000
2:@0.333087:0.821399:0.339627:0.821399:0.339627:0.809479:0.333087:0.809479:0.000000
2:@0.268704:0.769829:0.275244:0.769829:0.275244:0.757910:0.268704:0.757910:0.000000
4:@0.386480:0.821399:0.393020:0.821399:0.393020:0.809479:0.386480:0.809479:0.000000
x + y = 0:@0.339493:0.845207:0.385395:0.845207:0.385395:0.833288:0.339493:0.833288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.287212:0.730279:0.292653:0.730279:0.292653:0.718380:0.287212:0.718380:0.000000
x:@0.412266:0.804641:0.417693:0.804641:0.417693:0.792742:0.412266:0.792742:0.000000
Ingresa:@0.222937:0.466481:0.272071:0.466481:0.272071:0.451369:0.222937:0.451369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 al siguiente :@0.271736:0.466481:0.350104:0.466481:0.350104:0.451582:0.271736:0.451582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.346419:0.466481:0.350087:0.466481:0.350087:0.451582:0.346419:0.451582:0.000000
enlace y :@0.222937:0.481569:0.285423:0.481569:0.285423:0.466670:0.222937:0.466670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
refuerza:@0.289343:0.481569:0.346435:0.481569:0.346435:0.466456:0.289343:0.466456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.346435:0.481569:0.350104:0.481569:0.350104:0.466670:0.346435:0.466670:0.000000
tus conocimientos::@0.222937:0.496657:0.343956:0.496657:0.343956:0.481758:0.222937:0.481758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
TIC:@0.162871:0.447047:0.182840:0.447047:0.182840:0.425321:0.162871:0.425321:0.000000:0.000000:0.000000
mayedu.ec/ctm10/p64:@0.164489:0.541772:0.315913:0.541772:0.315913:0.526647:0.164489:0.526647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000