$$5 x - 2 y + 6 = 0$$
$x=\frac{2\left(y-3\right)}{5}$
$$5x+6=2y$$
$$5x=2y-6$$
$$\frac{5x}{5}=\frac{2y-6}{5}$$
$$x=\frac{2y-6}{5}$$
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$y=\frac{5x}{2}+3$
$$-2y+6=-5x$$
$$-2y=-5x-6$$
$$\frac{-2y}{-2}=\frac{-5x-6}{-2}$$
$$y=\frac{-5x-6}{-2}$$
$$y=\frac{5x}{2}+3$$
