$$5x+6y=1$$
$x=\frac{1-6y}{5}$
$$5x=1-6y$$
$$\frac{5x}{5}=\frac{1-6y}{5}$$
$$x=\frac{1-6y}{5}$$
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$y=\frac{1-5x}{6}$
$$6y=1-5x$$
$$\frac{6y}{6}=\frac{1-5x}{6}$$
$$y=\frac{1-5x}{6}$$
