\left\{ \begin{array} { l } { x - y + 3 = 0 } \\ { 2 x - z + 3 = 0 } \\ { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } + 2 y - 4 z - \frac { 17 } { 2 } = 0 } \end{array} \right.
Solve for x, y, z
x=-\frac{\sqrt{15}}{6}-1\approx -1.645497224\text{, }y=-\frac{\sqrt{15}}{6}+2\approx 1.354502776\text{, }z=-\frac{\sqrt{15}}{3}+1\approx -0.290994449
x=\frac{\sqrt{15}}{6}-1\approx -0.354502776\text{, }y=\frac{\sqrt{15}}{6}+2\approx 2.645497224\text{, }z=\frac{\sqrt{15}}{3}+1\approx 2.290994449
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