Question

$$Px-y= \frac{ 3 }{ 4 } x$$

Solve for P (complex solution)

$\left\{\begin{matrix}P=\frac{y}{x}+\frac{3}{4}\text{, }&x\neq 0\\P\in \mathrm{C}\text{, }&x=0\text{ and }y=0\end{matrix}\right.$

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Solve for x (complex solution)

$\left\{\begin{matrix}x=\frac{4y}{4P-3}\text{, }&P\neq \frac{3}{4}\\x\in \mathrm{C}\text{, }&y=0\text{ and }P=\frac{3}{4}\end{matrix}\right.$

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Solve for P

$\left\{\begin{matrix}P=\frac{y}{x}+\frac{3}{4}\text{, }&x\neq 0\\P\in \mathrm{R}\text{, }&x=0\text{ and }y=0\end{matrix}\right.$

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Solve for x

$\left\{\begin{matrix}x=\frac{4y}{4P-3}\text{, }&P\neq \frac{3}{4}\\x\in \mathrm{R}\text{, }&y=0\text{ and }P=\frac{3}{4}\end{matrix}\right.$

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