SOLUTION: Please help me solve this: Two integers differ by 12. Three times the smaler one is 11 less than twice the larger one. What are the numbers?

Question 504211: Please help me solve this: Two integers differ by 12. Three times the smaler one is 11 less than twice the larger one. What are the numbers?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Two integers differ by 12. Three times the smaller one is 11 less than twice the larger one. What are the numbers?
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Equations:
x - y = 12
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Notice that y must be the smaller number.
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3y = 2x-11
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Solve the system:
x - y = 12
2x-3y = 11
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2x -2y = 24
2x-3y = 11
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Subtract and solve for "y":
y = 13
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Solve for "x":
x - y = 12
x - 13 = 12
x = 25
============
Cheers,
Stan H.

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