Write the System of Linear Equations as a Matrix Equation $A X = B$

Multiple Choice

Write the system of linear equations as a matrix equation $A X = B$ and then use Gauss-Jordan elimination on the augmented matrix $[ A : B ]$ to solve for the the matrix $X$ $\left\{ \begin{array} { c } - 5 x - 5 y + 9 z = 9 \\- 5 x - 5 y + 8 z = 8 \\3 x + 7 y + 2 z = - 10\end{array} \right.$

A) $X = \left[ \begin{array} { c } - 3 \\3 \\1\end{array} \right]$
B) $X = \left[ \begin{array} { c } 3 \\- 3 \\1\end{array} \right]$
C) $X = \left[ \begin{array} { c } - 3 \\1 \\3\end{array} \right]$
D) $X = \left[ \begin{array} { c } 1 \\3 \\- 3\end{array} \right]$
E) $X = \left[ \begin{array} { c } 1 \\- 3 \\3\end{array} \right]$