For (x,y) positive integers, let 10xy + 14x + 15y = 183. Find x + y.
10xy + 14x + 15y = 183 add 21 to both sides
14x + 10xy + 15y + 21 = 183 + 21 factor the left side, simplify the right
(2x + 3) ( 7 + 5y) = 204
If x = 7 and y = 1 we have that
(17) (12) = 204
So
x + y = 7 + 1 = 8
