$$3x+5y=7$$
$x=\frac{7-5y}{3}$
$$3x=7-5y$$
$$\frac{3x}{3}=\frac{7-5y}{3}$$
$$x=\frac{7-5y}{3}$$
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$y=\frac{7-3x}{5}$
$$5y=7-3x$$
$$\frac{5y}{5}=\frac{7-3x}{5}$$
$$y=\frac{7-3x}{5}$$