What is the ratio of x to y if: \(\frac{10x-3y}{13x-2y} = \frac{3}{5}\)? Express your answer as a common fraction.
How would I go about solving this problem
First, I'd multiply both sides by 5 and then multiply both sides by (13x - 2y)
Sometimes this is called cross-multiplying.
the result of cross-multiplying is (5)(10x - 3y) = (3)(13x -2y)
multiply it out 50x -15y = 39x - 6y
put like unknowns together 50x - 39x = 15y - 6y
combine/subtract terms 11x = 9y
divide both sides by y 11x/y = 9
divide both sides by 11 x/y = 9/11 the ratio of x to y is 9 to 11
