As follows:
\(\text{Start as follows: }\frac{2x-y}{x+y}=\frac{2}{3}\\ \text{ Then multiply both sides by }3(x+y)\\ 3(2x-y)=2(x+y)\text{ or }6x-3y=2x+2y\\\text{Collect like terms together: }4x=5y\\\text{Divide both sides by }4y\\\frac{x}{y}=\frac{5}{4}\)
