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