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. $$\left\{ \begin{aligned}x _ { 1 } - 3 x _ { 2 } & = - 25 \\- 5 x _ { 1 } + 2 x _ { 2 } & = 34\end{aligned} \right.$$

A) $\left[ \begin{array} { c c } 1 & - 3 \\- 5 & 2\end{array} \right] \left[ \begin{array} { c } - 25 \\- 4\end{array} \right] = \left[ \begin{array} { c } 34 \\7\end{array} \right]$
B) $\left[ \begin{array} { c c } 1 & - 3 \\- 5 & 2\end{array} \right] = \left[ \begin{array} { c } - 25 \\34\end{array} \right]$
C) $\left[ \begin{array} { c c } 1 & - 3 \\- 5 & 2\end{array} \right] \left[ \begin{array} { c } - 4 \\- 25\end{array} \right] = \left[ \begin{array} { c } 7 \\34\end{array} \right]$
D) $\left[ \begin{array} { c c } 1 & - 3 \\- 5 & 2\end{array} \right] \left[ \begin{array} { c } - 4 \\7\end{array} \right] = \left[ \begin{array} { c } - 25 \\34\end{array} \right]$
E) $\left[ \begin{array} { c c } 1 & - 3 \\- 5 & 2\end{array} \right] \left[ \begin{array} { c } - 25 \\34\end{array} \right] = \left[ \begin{array} { c } - 4 \\7\end{array} \right]$