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.) $\left[ \begin{array} { c c c c : c } - 4 & 0 & 0 & - 9 & 8 \\- 4 & - 3 & 0 & 0 & 4 \\0 & - 6 & 9 & 8 & - 6 \\0 & 0 & 6 & - 1 & 9\end{array} \right]$

A) $\left\{ \begin{array} { l l } - 4 x - 9 y & = 8 \\- 4 x - 3 y & = 4 \\- 6 x + 9 y + 8 z & = - 6 \\6 x - y & = 9\end{array} \right.$
B) $\left\{ \begin{aligned}- 4 x - 9 z & = 8 \\- 4 x - 3 y & = 4 \\- 6 y + 9 z + 8 w & = - 6 \\6 z - w & = 9\end{aligned} \right.$
C) $\begin{array} { l } \left\{ \begin{array} { r l l } &- 4 x - 9 z & = 8 \\&- 4 x - 3 z & = 4 \\& - 6 y + 9 z + 8 w & = - 6\\&6 z - w &= 9 \\\end{array} \right. \\\end{array}$
D) $\left\{ \begin{aligned}- 4 x - 9 w & = 8 \\- 4 x - 3 y & = 4 \\- 6 y + 9 z + 8 w & = - 6 \\6 y - z & = 9\end{aligned} \right.$
E) $\left\{ \begin{aligned}- 4 x - 9 w & = 8 \\- 4 x - 3 y & = 4 \\- 6 y + 9 z + 8 w & = - 6 \\6 z - w & = 9\end{aligned} \right.$