$$9x+2y=1$$
$x=\frac{1-2y}{9}$
$$9x=1-2y$$
$$\frac{9x}{9}=\frac{1-2y}{9}$$
$$x=\frac{1-2y}{9}$$
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$y=\frac{1-9x}{2}$
$$2y=1-9x$$
$$\frac{2y}{2}=\frac{1-9x}{2}$$
$$y=\frac{1-9x}{2}$$