\(\dfrac{3x-y}{x+y}=\dfrac{3}{4}\Rightarrow4\left(2x-y\right)=3\left(x+y\right)\)
\(\Rightarrow12x-4y=3x+3y\Rightarrow12x-3x=3y+4y\)
\(\Rightarrow9x=7y\Rightarrow\dfrac{x}{y}=\dfrac{7}{9}\)
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