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Metodo de igualacion:
Despejamos una variable en ambas ecuaciones.
3x - 2y = -4
x = (-4 + 2y)/3
x + 3y = 6
x = 6 - 3y
Ahora igualamos ambas expresiones.
(-4 + 2y)/3 = 6 - 3 y
-4 + 2y = 3(6 - 3y)
-4 + 2y = 18 - 9y
2y + 9y = 18 + 4
11y = 22
y = 22/11
y = 2
Sustituyes en una de las expresiones.
x = 6 - 3y
x = 6 - 3(2)
x = 6 - 6
x = 0
RTA: y = 2 ; x = 0