SOLUTION: Find two integers whose product is 44 such that one of the integers is nine less than five times the other integer.

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: Find two integers whose product is 44 such that one of the integers is nine less than five times the other integer.      Log On


   

Question 861679: Find two integers whose product is 44 such that one of the integers is nine less than five times the other integer.
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
xy = 44
x = 5y - 9

Substitute x = 5y - 9 into the first equation.

(5y - 9)(y) = 44
5y^2 - 9y - 44 = 0
(y - 4)(5y + 11) = 0

y must be an integer, so y = 4.

integers: (x, y) = (11, 4)