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.) $\left[ \begin{array} { c c c c c } -1&0&0&3 & \vdots & 2 \\-7&4&0&0 & \vdots & 8 \\0&5&3&-5 & \vdots & - 8\\0&0&-1&-9& \vdots & 9\\\end{array} \right]$

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