Question 71962: The difference of the two numbers is 11. The second is 8 less than 2 times the first. What are the two numbers? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The difference of the two numbers is 11. The second is 8 less than 2 times the first. What are the two numbers?
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Let the numbers be "x" and "y".
EQUATIONS:
1st: x-y=11 (this means the x is larger than the y)
2nd: y=2x-8
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Substitute 2nd into 1st to solve for "x":
x-(2x-8) = 11
x-2x+8 = 11
-x=3
x=-3
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Substitute that into y=2x-8 to solve for "y":
y = (2*-3) - 8
y = -14
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Cheers,
Stan H.