$$\frac{ 3 }{ 5 } x+ \frac{ 5 }{ 3 } y=-2$$
$x=-\frac{25y}{9}-\frac{10}{3}$
$$\frac{3}{5}x=-2-\frac{5}{3}y$$
$$\frac{3}{5}x=-\frac{5y}{3}-2$$
$$\frac{\frac{3}{5}x}{\frac{3}{5}}=\frac{-\frac{5y}{3}-2}{\frac{3}{5}}$$
$$x=\frac{-\frac{5y}{3}-2}{\frac{3}{5}}$$
$$x=-\frac{25y}{9}-\frac{10}{3}$$
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$y=-\frac{9x}{25}-\frac{6}{5}$
$$\frac{5}{3}y=-2-\frac{3}{5}x$$
$$\frac{5}{3}y=-\frac{3x}{5}-2$$
$$\frac{\frac{5}{3}y}{\frac{5}{3}}=\frac{-\frac{3x}{5}-2}{\frac{5}{3}}$$
$$y=\frac{-\frac{3x}{5}-2}{\frac{5}{3}}$$
$$y=-\frac{9x}{25}-\frac{6}{5}$$