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.

Algebra ->  Problems-with-consecutive-odd-even-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.       Log On


   



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) About Me  (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.