Solve for x_3
\left\{\begin{matrix}x_{3}\geq \frac{5-3x_{2}-x_{1}}{2}\text{, }&x_{2}\leq \frac{3}{5}\\x_{3}\geq -\frac{x_{1}}{2}-\frac{2x_{2}}{3}+2\text{, }&x_{2}>\frac{3}{5}\end{matrix}\right.
Solve for x_2
\left\{\begin{matrix}x_{2}\geq \frac{5-2x_{3}-x_{1}}{3}\text{, }&x_{1}\geq \frac{16}{5}-2x_{3}\\x_{2}\geq -\frac{3x_{1}}{4}-\frac{3x_{3}}{2}+3\text{, }&x_{1}<\frac{16}{5}-2x_{3}\end{matrix}\right.
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