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1) 7x - 5y = 34
2) - 9x - 7y = 10
Despejo x en las dos ecuaciones.
7x - 5y = 34 - 9x - 7y = 10
7x = 34 + 5y - 9x = 10 + 7y
x = 34 + 5y x = 10 + 7y
---------- ------------
7 - 9
34 + 5y 10 + 7y
----------- = ----------------
7 - 9
- 9 (34 + 5y) = 7 (10 + 7y)
- 306 - 45y = 70 + 49y
- 45y - 49y = 70 + 306
- 94y = 376
y = 376/-94
y = - 4
El valor de x lo reemplazo en cualquiera de los despejes de x
x = (34 + 5y)/7
x = (34 + 5 (- 4)/7
x = 34 - 20)/7
x = 14/7
x = 2
Solución :
x = 2
y = - 4