SOLUTION: The sum of two integers is 3x their difference. Thrice the smaller integer exceeds the larger integer by 4. Find the integer.

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Question 1098684: The sum of two integers is 3x their difference. Thrice the smaller integer exceeds the larger integer by 4. Find the integer.
Answer by josgarithmetic(39631) About Me  (Show Source):
You can put this solution on YOUR website!
sum of two integers is 3x their difference.
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...sum of two integers is THREE TIMES their difference.
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x%2By=3%28y-x%29


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Thrice the smaller integer exceeds the larger integer by 4.
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3x-y=4



Simplify and solve this system:
system%28x%2By=3y-3x%2C3x-y=4%29

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system%284x=2y%2Cy=3x-4%29
4x=2%283x-4%29
4x=6x-8
2x=8
highlight%28x=4%29-------smaller integer
highlight%28y=8%29-------larger integer