Question 85286: One number is 8 less than another. If 9 times the smaller number minus 4 times the larger number is 8, find the two numbers. Answer by Lacey020991(49) (Show Source):
You can put this solution on YOUR website! x = bigger number
y = smaller number
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x - 8 = y
9(y) - 4(x) = 8
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Use substitution to solve the system of equations
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9(x-8) - 4(x) = 8 ----------> Distrubute the 9 to (x-8)
9x - 72 - 4x = 8 ----------> Combine Like terms
5x -72 = 8 ----------> add 72
5x = 80 ----------> divide by 5
x = 16 ----------> bigger number
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Plug the x-value into the top equation
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16 - 8 = y
8 = y
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The bigger number is 16 and the smaller number is 8.
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