Use a Matrix Approach to Solve the System A) $-$

Use a matrix approach to solve the system. $$\left( \begin{array} { c c c c } x _ { 1 } &+& 6 x _ { 2 } &-& x _ { 3 } &+& 5 x _ { 4 } &= &- 4 \\5 x _ { 1 } &+& 3 x _ { 2 } &+& 5 x _ { 3 } &-& x _ { 4 } &= &- 9 \\- 6 x _ { 1 } &-& 4 x _ { 2 } &+& 6 x _ { 3 } &+& x _ { 4 } &= &23 \\ 7 x _ { 1 } &+& 9 x _ { 2 } &-& 5 x _ { 3 } &-& 6 x _ { 4 } &= &- 34 \\\end{array} \right)$$

A) ( $-$ 2, $-$ 1, 1, 1)
B) ( $-$ 2, $-$ 1, $-$ 1 + x 2 , 5 $-$ x 2 ) , where x 2 is any real number
C) ( $-$ 2, $-$ 1, x 3 , $-$ 1 $-$ x 3 ) , where x 3 is any real number
D) ( $-$ 3, 0, 0, 2)
E) inconsistent