6x+5y=-17 x=3-2y
solve by elimination
x = 3 - 2y
x + 2y = 3
6 * (x + 2y) = 6 * 3
6x + 12y = 18
6x + 12y = 18
-(6x + 5y = -17)
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7y = 35
y = 5
x = 3 - 2y
x = 3 - 2(5)
x = 3 - 10
x = -7
Use equation 1 to check your answer.
6x + 5y = -17
6(-7) + 5(5) = -17
-42 + 25 = -17
-17 = -17
x = -7 and y = 5