$$4x+2y=10$$
$x=\frac{5-y}{2}$
$$4x=10-2y$$
$$\frac{4x}{4}=\frac{10-2y}{4}$$
$$x=\frac{10-2y}{4}$$
$$x=\frac{5-y}{2}$$
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$y=5-2x$
$$2y=10-4x$$
$$\frac{2y}{2}=\frac{10-4x}{2}$$
$$y=\frac{10-4x}{2}$$
$$y=5-2x$$
