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

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