$$4x+8y=22$$
$x=\frac{11}{2}-2y$
$$4x=22-8y$$
$$\frac{4x}{4}=\frac{22-8y}{4}$$
$$x=\frac{22-8y}{4}$$
$$x=\frac{11}{2}-2y$$
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$y=-\frac{x}{2}+\frac{11}{4}$
$$8y=22-4x$$
$$\frac{8y}{8}=\frac{22-4x}{8}$$
$$y=\frac{22-4x}{8}$$
$$y=-\frac{x}{2}+\frac{11}{4}$$