SOLUTION: The sum of two integers is fifteen. Seven times the smaller integer is seventeen more than four times the larger integer. Find the integers.

SOLUTION: The sum of two integers is fifteen. Seven times the smaller integer is seventeen more than four times the larger integer. Find the integers.

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Question 795494: The sum of two integers is fifteen. Seven times the smaller integer is seventeen more than four times the larger integer. Find the integers.

Answer by CubeyThePenguin(3113) (Show Source): You can put this solution on YOUR website!
x + y = 15
7y = 4x + 17

Rearrange the first equation to get y = 15 - x. Substitute into the second equation.

7(15 - x) = 4x + 17
105 - 7x = 4x + 17
11x = 88
x = 8

The integers are x = 8 and y = 7, or vice versa.
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