Write the System of Linear Equations Represented by the Augmented $x , y , z$

Multiple Choice

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

A) $\left\{ \begin{array} { l l } - 4 x - 9 y & = - 9 \\ 7 x - 8 y & = 1 \\ - 4 x - 7 y - 9 z & = - 8 \\ - 4 x + y & = - 8 \end{array} \right.$

B) $\left\{ \begin{aligned} - 4 x - 9 z & = - 9 \\ 7 x - 8 y & = 1 \\ - 4 y - - 7 z - 9 w & = - 8 \\ - 4 z + w & = - 8 \end{aligned} \right.$

C) $\left\{ \begin{array} { r l r } - 4 x & - 9 z & = - 9 \\ 7 x & - 8 z & = 1 \\ - 4 y - 7 z - 9 w & = - 8 \\ - 4 z + w & = - 8 \end{array} \right.$

D) $\left\{\begin{aligned}-4 x-9 w &=-9 \\7 x-8 y &=1 \\-4 y-7 z-9 w &=-8 \\-4 y+z &=-8\end{aligned}\right.$


E) $\left\{ \begin{aligned} - 4 x & - 9 w \end{aligned} \right.$