What is the ratio of $x$ to $y$ if: $\frac{10x-3y}{13x-2y} = \frac{3}{5}$? Express your answer as a common fraction.
(10x - 3y) / ( 13x - 2y) = 3/5 cross-multiply
5(10x - 3y) = 3(13x - 2y) simplify
50x - 15y = 39x - 6y rearrange as
50x - 39x = 15y - 6y
11x = 9y
x / y = 9 / 11