\(\frac{3x-y}{x+y}=\frac{1}{2}\Rightarrow x+y=2\left(3x-y\right)\)
\(\Rightarrow x+y=6x-2y\)
\(\Rightarrow x-6x=-2y-y\)
\(\Rightarrow-5x=-3y\)
\(\Rightarrow\frac{x}{y}=\frac{-3}{-5}=\frac{3}{5}\)
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