Solve for x
\left\{\begin{matrix}x\in \begin{bmatrix}\frac{-\sqrt{y^{2}-6С+6}-y}{3},\frac{\sqrt{y^{2}-6С+6}-y}{3}\end{bmatrix}\text{, }&С<\frac{y^{2}}{6}+1\\x=-\frac{y}{3}\text{, }&С\leq \frac{y^{2}}{6}+1\end{matrix}\right.
Solve for y
\left\{\begin{matrix}y\in \begin{bmatrix}\text{Indeterminate},-\frac{3x}{2}-\frac{С}{x}+\frac{1}{x}\end{bmatrix}\text{, }&x>0\text{ and }\text{Indeterminate}\leq 0\\y\leq -\frac{3x}{2}-\frac{С}{x}+\frac{1}{x}\text{, }&x>0\\y\in \mathrm{R}\text{, }&С\leq 1\text{ and }x=0\\y=-\frac{3x}{2}-\frac{С}{x}+\frac{1}{x}\text{, }&С\leq 1\text{ or }x\neq 0\\y\geq -\frac{3x}{2}-\frac{С}{x}+\frac{1}{x}\text{, }&x<0\\y\geq \text{Indeterminate}\text{, }&\left(\text{Indeterminate}>-\frac{3x}{2}-\frac{С}{x}+\frac{1}{x}\text{ and }x<0\right)\text{ or }\left(С_{1}\leq 1\text{ and }x\leq 0\right)\end{matrix}\right.
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