Question 1072302
1) -2x-y = 23
2) 7x -2y = 2
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solve equation 1 for y
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-y = 2x +23
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y = -2x -23
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substitute for y in equation 2
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7x -2(-2x -23) = 2
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7x +4x +46 = 2
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11x = -44
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x = -4
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y = -2(-4) -23 = -15
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x = -4 and y = -15
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Note that this solution is the point of intersection of the two equations that represent lines
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check answer by substituting for x and y in equations 1 and 2
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equation 1
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-2(-4) -(-15) = 23
8 + 15 = 23
23 = 23
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equation 2
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7(-4) -2(-15) = 2
-28 +30 = 2
2 = 2
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our answer checks
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