Solve for x
\left\{\begin{matrix}x\in \begin{bmatrix}-\frac{y}{2}+2,3-2y\end{bmatrix}\text{, }&y\geq 0\text{ and }y\leq \frac{2}{3}\\x=\frac{3y}{2}+3\text{, }&y=-\frac{1}{2}\\x\in \begin{bmatrix}-\frac{y}{2}+2,\frac{3y}{2}+3\end{bmatrix}\text{, }&y>-\frac{1}{2}\text{ and }y<0\end{matrix}\right.
Solve for y
\left\{\begin{matrix}y\in \begin{bmatrix}4-2x,\frac{3-x}{2}\end{bmatrix}\text{, }&x\geq \frac{5}{3}\text{ and }x\leq \frac{9}{4}\\y=\frac{3-x}{2}\text{, }&x=3\\y\in \begin{bmatrix}\frac{2x}{3}-2,\frac{3-x}{2}\end{bmatrix}\text{, }&x>\frac{9}{4}\text{ and }x<3\end{matrix}\right.
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