Método de Resolución de Sistema de 2 Ecuaciones

Cada ecuación de 1° grado, es decir elevada a 1, con 2 incógnitas es una recta. Al resolver el sistema, buscamos la intersección de ambas rectas. En el caso del gráfico mostrado abajo, la intersección de las rectas está marcada con un círculo celeste que es donde se corta una con la otra.



  • Método de Igualación:


Este método consiste en despejar la incógnita de las dos ecuaciones…


y luego igualar los segundos miembros de estos despejes.


Después, hay que despejar la incógnita restante, en este caso ‘x’, y hallar su valor. En este caso, el valor de ‘x’ es 1.

Por último, uno debe elegir cualquiera de las dos ecuaciones originales y reemplazar, en este caso, a ‘x’ por su valor.




  • Método de Sustitución:

Este método es muy parecido al de igualación. Consiste en despejar una incógnita de una de las dos ecuaciones y sustituir ese valor hallado, en la otra ecuación.



Luego hay que sustituir ese valor en la otra ecuación original y despejar la otra incógnita (‘y’).



Después, reemplaza el valor de ‘y’ en la ecuación donde anteriormente habias despejado ‘x’.


Al tener ambos resultados, hay que verificar las dos ecuaciones simultáneas. Si todo está correcto, deben verificarse las dos igualdades.










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