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Solve the following systems by elimination: –x + 2y = 6
x – y = 3


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Mlcparra16id
-x + 2y = 6 ... [1]
x - y = 3 ... [2]

[1] + [2]
-x + 2y = 6
x   -y    =3
       y = 9

We substitute this to the second equation,
x - y = 3
x - 9 = 3
x = 12