What is x:y if \( \frac{10x-3y}{13x-2y} = \frac{3}{5}\)? Express your answer as a common fraction.
10x - 3y 3
_______ = ___ cross-multiply
13x - 2y 5
5 [ 10x - 3y ] = 3 [ 13x - 2y ] simplify
50x - 15y = 39x - 6y add 15y to both sides.....subtract 39x from both sides
11x = 9y
x / y = 9 / 11
x : y = 9 /11