​Write the System of Linear Equations as a Matrix Equation $[ A \mid B ]$

​Write the system of linear equations as a matrix equation AX = B,and use Gauss-Jordan elimination on the augmented matrix $[ A \mid B ]$ to solve for the matrix X. $$\left\{ \begin{array} { r l c } x _ { 1 } - x _ { 2 } - 3 x _ { 3 } & = & 6 \\8 x _ { 1 } - 7 x _ { 2 } + 8 x _ { 3 } & = & - 104 \\6 x _ { 1 } - 6 x _ { 2 } - 8 x _ { 3 } & = & - 14\end{array} \right.$$

A) ​ $$\left[ \begin{array} { c c c } 1 & - 1 & - 3 \\8 & - 7 & 8 \\6 & - 6 & - 8\end{array} \right] = \left[ \begin{array} { c } 6 \\- 104 \\- 14\end{array} \right]$$
B) ​ $$\left[ \begin{array} { c c c } 1 & - 1 & - 3 \\8 & - 7 & 8 \\6 & - 6 & - 8\end{array} \right] \left[ \begin{array} { c } - 1 \\8 \\- 5\end{array} \right] = \left[ \begin{array} { c } 6 \\8 \\- 5\end{array} \right]$$
C) ​ $$\left[ \begin{array} { c c c } 1 & - 1 & - 3 \\8 & - 7 & 8 \\6 & - 6 & - 8\end{array} \right] \left[ \begin{array} { c } 6 \\- 1 \\- 14\end{array} \right] = \left[ \begin{array} { c } - 104 \\8 \\- 5\end{array} \right]$$
D) ​ $$\left[ \begin{array} { c c c } 1 & - 1 & - 3 \\8 & - 7 & 8 \\6 & - 6 & - 8\end{array} \right] \left[ \begin{array} { c } - 1 \\8 \\- 5\end{array} \right] = \left[ \begin{array} { c } 6 \\- 104 \\- 14\end{array} \right]$$
E) ​ $$\left[ \begin{array} { c c c } 1 & - 1 & - 3 \\8 & - 7 & 8 \\6 & - 6 & - 8\end{array} \right] \left[ \begin{array} { c } 6 \\- 104 \\- 14\end{array} \right] = \left[ \begin{array} { c } - 1 \\8 \\- 5\end{array} \right]$$