Question 861679
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)