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
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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)
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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.