$$3y=5x$$
$x=\frac{3y}{5}$
$$5x=3y$$
$$\frac{5x}{5}=\frac{3y}{5}$$
$$x=\frac{3y}{5}$$
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$y=\frac{5x}{3}$
$$\frac{3y}{3}=\frac{5x}{3}$$
$$y=\frac{5x}{3}$$