Solve the System of Linear Equations $\left\{ \begin{array} { l l } 9 x + 9 y + 9 z & = 1 \\27 x + 45 y + 36 z & = - 3 \\27 x + 54 y + 45 z & = 2\end{array} \right.$

Multiple Choice

Solve the system of linear equations $\left\{ \begin{array} { l l } 9 x + 9 y + 9 z & = 1 \\27 x + 45 y + 36 z & = - 3 \\27 x + 54 y + 45 z & = 2\end{array} \right.$ using the inverse matrix $\frac { 1 } { 9 } \left[ \begin{array} { c c c } 1 & 1 & - 1 \\- 3 & 2 & - 1 \\3 & - 3 & 2\end{array} \right]$ .

A) $\left[ \begin{array} { l } x \\y \\z\end{array} \right] = \left[ \begin{array} { c } \frac { 5 } { 9 } \\\frac { - 2 } { 3 } \\\frac { 4 } { 9 }\end{array} \right]$
B) $\left[ \begin{array} { l } x \\y \\z\end{array} \right] = \left[ \begin{array} { c } \frac { - 4 } { 9 } \\\frac { - 11 } { 9 } \\\frac { 16 } { 9 }\end{array} \right]$
C) $\left[ \begin{array} { l } x \\y \\z\end{array} \right] = \left[ \begin{array} { c } \frac { - 11 } { 9 } \\\frac { 16 } { 9 } \\\frac { - 4 } { 9 }\end{array} \right]$
D) $\left[ \begin{array} { l } x \\y \\z\end{array} \right] = \left[ \begin{array} { c } \frac { 5 } { 9 } \\\frac { 1 } { 3 } \\\frac { - 2 } { 9 }\end{array} \right]$
E) $\left[ \begin{array} { l } x \\y \\z\end{array} \right] = \left[ \begin{array} { c } \frac { 16 } { 9 } \\\frac { - 4 } { 9 } \\\frac { - 11 } { 9 }\end{array} \right]$