\left\{ \begin{array} { c } { ( x - 3 ) ^ { 2 } + y ^ { 2 } = 9 } \\ { | x | + | y | \leq 6 } \end{array} \right.
Evaluate (complex solution)
\left(x-3\right)^{2}+y^{2}=9,\ |x|+|y|\leq 6
Solve for x
\left\{\begin{matrix}x=6\text{, }&y=0\\x=-\sqrt{9-y^{2}}+3\text{, }&y\geq -3\text{ and }y\leq 3\end{matrix}\right.
Solve for y
\left\{\begin{matrix}y=-\sqrt{x\left(6-x\right)}\text{; }y=\sqrt{x\left(6-x\right)}\text{, }&x\geq 0\text{ and }x\leq 3\\y=0\text{, }&x=6\end{matrix}\right.
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