Solve {l}{p=q-p/rs}{t=q}{text{Solvefor}utext{where}}{u=t}

$$\left. \begin{array} { l } { p = \frac{q - p}{r s} }\\ { t = q }\\ { \text{Solve for } u \text{ where} } \\ { u = t } \end{array} \right.$$

Solve for p, q, r, s, t, u (complex solution)

$$r\in \mathrm{C}\setminus -\frac{1}{s},0\text{, }t=q\text{, }s\neq 0\text{, }p=\frac{q}{rs+1}\text{, }q\in \mathrm{C}\text{, }u=q$$

$$r=-\frac{1}{s}\text{, }t=0\text{, }s\neq 0\text{, }p\in \mathrm{C}\text{, }q=0\text{, }u=0$$

Solve for p, q, r, s, t, u

$$r\in \mathrm{R}\setminus -\frac{1}{s},0\text{, }t=q\text{, }s\neq 0\text{, }p=\frac{q}{rs+1}\text{, }q\in \mathrm{R}\text{, }u=q$$

$$r=-\frac{1}{s}\text{, }t=0\text{, }s\neq 0\text{, }p\in \mathrm{R}\text{, }q=0\text{, }u=0$$