$$10x+18y=-11$$
$x=-\frac{9y}{5}-\frac{11}{10}$
$$10x=-11-18y$$
$$10x=-18y-11$$
$$\frac{10x}{10}=\frac{-18y-11}{10}$$
$$x=\frac{-18y-11}{10}$$
$$x=-\frac{9y}{5}-\frac{11}{10}$$
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$y=-\frac{5x}{9}-\frac{11}{18}$
$$18y=-11-10x$$
$$18y=-10x-11$$
$$\frac{18y}{18}=\frac{-10x-11}{18}$$
$$y=\frac{-10x-11}{18}$$
$$y=-\frac{5x}{9}-\frac{11}{18}$$