$$5x+8y=14$$
$x=\frac{14-8y}{5}$
$$5x=14-8y$$
$$\frac{5x}{5}=\frac{14-8y}{5}$$
$$x=\frac{14-8y}{5}$$
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$y=-\frac{5x}{8}+\frac{7}{4}$
$$8y=14-5x$$
$$\frac{8y}{8}=\frac{14-5x}{8}$$
$$y=\frac{14-5x}{8}$$
$$y=-\frac{5x}{8}+\frac{7}{4}$$
