Giải:
\(\dfrac{2x-y}{x+y}=\dfrac{2}{3}\)
\(\Leftrightarrow3\left(2x-y\right)=2\left(x+y\right)\)
\(\Leftrightarrow6x-3y=2x+2y\)
\(\Leftrightarrow6x-2x=2y+3y\)
\(\Leftrightarrow4x=5y\)
\(\Leftrightarrow\dfrac{x}{y}=\dfrac{5}{4}=\dfrac{10}{8}=\dfrac{15}{12}=...\)
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