$$\left. \begin{array} { l } { 65 x + 9 y = 5 2 x + 3 y + 15 \right.$$
$x=-\frac{6y}{55}+\frac{3}{11}$
$$65x+9y=10x+3y+15$$
$$65x+9y-10x=3y+15$$
$$55x+9y=3y+15$$
$$55x=3y+15-9y$$
$$55x=-6y+15$$
$$55x=15-6y$$
$$\frac{55x}{55}=\frac{15-6y}{55}$$
$$x=\frac{15-6y}{55}$$
$$x=-\frac{6y}{55}+\frac{3}{11}$$
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