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Solution to 5x+y=-8 and 4x-2y=-40

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5x+y=-8 so y = -5x - 8
4x-2y=-40

substitute y = -5x - 8 into 4x-2y=-40
4x- 2y = -40
4x-2( -5x - 8) = -40
4x + 10x + 16 = -40
14x = -56
x = -4

y = -5x - 8
y = -5(-4) - 8
y = 20 - 8
y = 12

answer
x = -4 and y = 12

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