Write the System of Linear Equations Represented by the Augmented

Multiple Choice

Write the system of linear equations represented by the augmented matrix.(Use variables x,y,z,and w. ) $\left[\begin{array}{l}{\begin{array}{lllll}-1 & 0 & 0 &3&\vdots2\end{array}} \\\begin{array}{lllll}-7 & 4 & 0 &0& \vdots8\end{array} \\\begin{array}{lllll}0 & 5 & 3 &-5& \vdots-8\end{array} \\\begin{array}{lllll}0 & 0 & -1 &-9& \vdots9\end{array} \\\end{array}\right]$

A) $$\left\{ \begin{array} { r l r } - x + 3 w & = 2 \\- 7 x + 4 y & = 8 \\5 y + 3 z - 5 w & = - 8 \\- y - 9 z & = 9\end{array} \right.$$ ​
B) $$\left\{ \begin{array} { r l r } - x + 3 z & = 2 \\- 7 x + 4 z & = 8 \\5 y + 3 z - 5 w & = - 8 \\- z - 9 w & = 9\end{array} \right.$$
C) $$\left\{ \begin{array} { r l r } - x + 3 y & = & 2 \\- 7 x + 4 y & = & 8 \\5 x + 3 y - 5 z & = - 8 \\- x - 9 y & = 9\end{array} \right.$$
D) $$\left\{ \begin{aligned}- x + 3 w & = 2 \\- 7 x + 4 y & = 8 \\5 y + 3 z - 5 w & = - 8 \\- z - 9 w & = 9\end{aligned} \right.$$
E) $$\left\{ \begin{array} { r l r } - x + 3 z & = 2 \\- 7 x + 4 y & = 8 \\5 y + 3 z - 5 w & = - 8 \\- z - 9 w & = 9\end{array} \right.$$