$$2x-5y=1$$
$x=\frac{5y+1}{2}$
$$2x=1+5y$$
$$2x=5y+1$$
$$\frac{2x}{2}=\frac{5y+1}{2}$$
$$x=\frac{5y+1}{2}$$
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$y=\frac{2x-1}{5}$
$$-5y=1-2x$$
$$\frac{-5y}{-5}=\frac{1-2x}{-5}$$
$$y=\frac{1-2x}{-5}$$
$$y=\frac{2x-1}{5}$$
