SOLUTION: Solve the following problem using the elimination method: x+9y=75 -x+9y=69

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Question 412746: Solve the following problem using the elimination method:
x+9y=75
-x+9y=69

Answer by algebrahouse.com(1659) About Me  (Show Source):
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x + 9y = 75
-x + 9y = 69
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18y = 144 {added the two equations together}
y = 8 {divided both sides by 18}

x + 9y = 75 {first equation}
x + 9(8) = 75 {substituted 8, in for y, into first equation}
x + 72 = 75 {multiplied 9 by 8}
x = 3 {subtracted 72 from both sides}

x = 3 and y = 8
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