$$2x+4y=48$$
$x=24-2y$
$$2x=48-4y$$
$$\frac{2x}{2}=\frac{48-4y}{2}$$
$$x=\frac{48-4y}{2}$$
$$x=24-2y$$
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$y=-\frac{x}{2}+12$
$$4y=48-2x$$
$$\frac{4y}{4}=\frac{48-2x}{4}$$
$$y=\frac{48-2x}{4}$$
$$y=-\frac{x}{2}+12$$