$$7x+8y=150$$
$x=\frac{150-8y}{7}$
$$7x=150-8y$$
$$\frac{7x}{7}=\frac{150-8y}{7}$$
$$x=\frac{150-8y}{7}$$
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$y=-\frac{7x}{8}+\frac{75}{4}$
$$8y=150-7x$$
$$\frac{8y}{8}=\frac{150-7x}{8}$$
$$y=\frac{150-7x}{8}$$
$$y=-\frac{7x}{8}+\frac{75}{4}$$
