$$51x+4y=501$$
$x=-\frac{4y}{51}+\frac{167}{17}$
$$51x=501-4y$$
$$\frac{51x}{51}=\frac{501-4y}{51}$$
$$x=\frac{501-4y}{51}$$
$$x=-\frac{4y}{51}+\frac{167}{17}$$
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$y=\frac{501-51x}{4}$
$$4y=501-51x$$
$$\frac{4y}{4}=\frac{501-51x}{4}$$
$$y=\frac{501-51x}{4}$$
