SOLUTION: If the ratio of 2x - y to x + y is 2/3 what is the ratio of x to y Need to understand the steps and the strategies.

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Question 1052275: If the ratio of 2x - y to x + y is 2/3 what is the ratio of x to y
Need to understand the steps and the strategies.
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Two variables, could be infinitely many solutions, but first, try...

%282x-y%29%2F%28x%2By%29=2%2F3

2x-y=2%28x%2By%29%2F3

3%282x-y%29=2%28x%2By%29

6x-3y=2x%2B2y

Any constant term? No.

x=2y%2B3y

x=5y
Obviously x varies directly with y; so you have an answer.
x%281%2Fy%29=5y%281%2Fy%29

highlight%28x%2Fy=5%29