Solve for s
\left\{\begin{matrix}s=\frac{t\left(iuz+1\right)}{iuz-1}\text{, }&t\neq 0\text{ and }\left(u=0\text{ or }z\neq \frac{-i}{u}\right)\\s\neq 0\text{, }&t=0\text{ and }z=\frac{-i}{u}\text{ and }u\neq 0\end{matrix}\right.
Solve for t
\left\{\begin{matrix}t=\frac{s\left(iuz-1\right)}{iuz+1}\text{, }&s\neq 0\text{ and }\left(u=0\text{ or }z\neq \frac{i}{u}\right)\\t\neq 0\text{, }&s=0\text{ and }z=\frac{i}{u}\text{ and }u\neq 0\end{matrix}\right.
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