\left\{ \begin{array} { l } { x - y + 2 \geq 0 } \\ { 2 x + y - 2 \geq 1 } \\ { 3 x - y - 3 \leq 0 } \end{array} \right.
Solve for x
\left\{\begin{matrix}x\in \begin{bmatrix}\frac{3-y}{2},\frac{y}{3}+1\end{bmatrix}\text{, }&y\geq \frac{3}{5}\text{ and }y\leq \frac{7}{3}\\x\in \begin{bmatrix}y-2,\frac{y}{3}+1\end{bmatrix}\text{, }&y>\frac{7}{3}\text{ and }y\leq \frac{9}{2}\end{matrix}\right.
Solve for y
\left\{\begin{matrix}y\in \begin{bmatrix}3-2x,x+2\end{bmatrix}\text{, }&x\geq \frac{1}{3}\text{ and }x\leq \frac{6}{5}\\y=x+2\text{, }&x=\frac{5}{2}\\y\in \begin{bmatrix}3\left(x-1\right),x+2\end{bmatrix}\text{, }&x>\frac{6}{5}\text{ and }x<\frac{5}{2}\end{matrix}\right.
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