Solve for x
x=\frac{y+z}{z-y}
x=-\frac{y-z}{y+z}\text{, }|z|\neq |y|
Solve for y
\left\{\begin{matrix}y=\frac{z\left(1-x\right)}{x+1}\text{; }y=-\frac{z\left(1-x\right)}{x+1}\text{, }&x\neq 0\text{ and }z\neq 0\text{ and }x\neq -1\\y\neq 0\text{, }&x=-1\text{ and }z=0\end{matrix}\right.
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