Question

$$z=mx+y$$

Solve for m (complex solution)

$\left\{\begin{matrix}m=-\frac{y-z}{x}\text{, }&x\neq 0\\m\in \mathrm{C}\text{, }&z=y\text{ and }x=0\end{matrix}\right.$

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Solve for x (complex solution)

$\left\{\begin{matrix}x=-\frac{y-z}{m}\text{, }&m\neq 0\\x\in \mathrm{C}\text{, }&z=y\text{ and }m=0\end{matrix}\right.$

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Solve for m

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

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Solve for x

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

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