Ta có:
\(\frac{2x-y}{x+y}=\frac{2}{3}\)
\(\Rightarrow\left(2x-y\right).3=\left(x+y\right).2\)
\(\Rightarrow6x-3y=2x+2y\)
\(\Rightarrow6x-2x=2y+3y\)
\(\Rightarrow4x=5y\)
\(\Rightarrow\frac{x}{y}=\frac{5}{4}.\)
Vậy \(\frac{x}{y}=\frac{5}{4}.\)
Chúc bạn học tốt!