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-2[x-y=1]
------------ --
[2x+3y=12]
[-2x+2y=-2]
Sumanos, el 2x y el -2x se elimina quedaria:
5y=10
y=10/5
y=2
Hallamos x en una de las ecuaciones
x-y=1
x-2=1
x=2+1
x=3