$$9x+y=100x$$
$x=\frac{y}{91}$
$$9x+y-100x=0$$
$$-91x+y=0$$
$$-91x=-y$$
$$\frac{-91x}{-91}=-\frac{y}{-91}$$
$$x=-\frac{y}{-91}$$
$$x=\frac{y}{91}$$
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$y=91x$
$$y=100x-9x$$
$$y=91x$$
