$$y=zx+3$$
$\left\{\begin{matrix}x=\frac{y-3}{z}\text{, }&z\neq 0\\x\in \mathrm{R}\text{, }&y=3\text{ and }z=0\end{matrix}\right.$
$$zx+3=y$$
$$zx=y-3$$
$$\frac{zx}{z}=\frac{y-3}{z}$$
$$x=\frac{y-3}{z}$$
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$y=xz+3$
