SOLUTION: The difference of two integers is 9. Five times the smaller is 7 more than three times the larger. Find the numbers.

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Question 106087This question is from textbook Algebra Structure and Method Book 1
: The difference of two integers is 9. Five times the smaller is 7 more than three times the larger. Find the numbers. This question is from textbook Algebra Structure and Method Book 1

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The difference of two integers is 9. Five times the smaller is 7 more than three times the larger. Find the numbers.
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Let the numbers be x and y:
x-y = 9
5y=3x+7
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Solve 1st for x = get y+9
Substitute into 2nd to get:
5y = 3(y+9)+7
5y = 3y+34
2y = 34
y = 17
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Substitute to solve for x:
x-17 = 9
x = 26
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Cheers,
Stan H.