Solve for x
\left\{\begin{matrix}x=\frac{2}{3}\approx 0.666666667\text{, }&y=0\\x=\frac{2-py}{3}\text{, }&\left(p\leq -\frac{7}{y}\text{ and }y<0\right)\text{ or }\left(p\geq -\frac{7}{y}\text{ and }y>0\right)\\x=3\text{, }&p=-\frac{7}{y}\end{matrix}\right.
Solve for y
\left\{\begin{matrix}y=\frac{2-3x}{p}\text{, }&p\neq 0\text{ and }x\leq 3\\y\in \mathrm{R}\text{, }&x=\frac{2}{3}\text{ and }p=0\end{matrix}\right.
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