Question 85286
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.