$$3x+2y=13$$
$x=\frac{13-2y}{3}$
$$3x=13-2y$$
$$\frac{3x}{3}=\frac{13-2y}{3}$$
$$x=\frac{13-2y}{3}$$
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$y=\frac{13-3x}{2}$
$$2y=13-3x$$
$$\frac{2y}{2}=\frac{13-3x}{2}$$
$$y=\frac{13-3x}{2}$$
