​Solve the System of Linear Equations $$\left\{ \begin{array} { l l } - 6 x + 18 y + 6 z & = 1 \\12 x + 30 y & = 2 \\18 x + 6 y - 12 z & = - 1\end{array} \right.$$

Multiple Choice

​Solve the system of linear equations $$\left\{ \begin{array} { l l } - 6 x + 18 y + 6 z & = 1 \\12 x + 30 y & = 2 \\18 x + 6 y - 12 z & = - 1\end{array} \right.$$ using an inverse matrix. ​

A) ​ $$\left[ \begin{array} { l } x \\y \\z\end{array} \right] = \left[ \begin{array} { c } \frac { 1 } { 6 } \\\\\frac { - 1 } { 2 } \\\\\frac { 1 } { 3 }\end{array} \right]$$ ​
B) ​ $$\left[ \begin{array} { l } x \\y \\z\end{array} \right] = \left[ \begin{array} { c } \frac { - 1 } { 6 } \\\\\frac { - 1 } { 2 } \\\\\frac { - 1 } { 3 }\end{array} \right]$$
C) ​ $$\left[ \begin{array} { l } x \\y \\z\end{array} \right] = \left[ \begin{array} { c } \frac { - 1 } { 6 } \\0 \\\frac { 1 } { 2 }\end{array} \right]$$
D) ​ $$\left[ \begin{array} { l } x \\y \\z\end{array} \right] = \left[ \begin{array} { c } 0 \\\frac { 1 } { 3 } \\\frac { - 1 } { 6 }\end{array} \right]$$
E) ​ $$\left[ \begin{array} { l } x \\y \\z\end{array} \right] = \left[ \begin{array} { l } \frac { 1 } { 6 } \\0 \\\frac { 1 } { 3 }\end{array} \right]$$