Write the System of Linear Equations Represented by the Augmented $\left[ \begin{array} { c c c : c } - 9 & - 5 & - 7 & 9 \\2 & - 6 & - 6 & - 8 \\5 & - 2 & - 9 & 0\end{array} \right]$

Multiple Choice

Write the system of linear equations represented by the augmented matrix below. Use variables x , y , z , v , and w, if necessary.
$\left[ \begin{array} { c c c : c } - 9 & - 5 & - 7 & 9 \\2 & - 6 & - 6 & - 8 \\5 & - 2 & - 9 & 0\end{array} \right]$

A) $\left\{ \begin{array} { c } - 9 x - 7 z = 2 \\2 x - 6 z = - 14 \\5 x - 9 z = - 9\end{array} \right.$
B) $\left\{ \begin{array} { c } - 9 x - 5 y - 7 z = 9 \\2 x - 6 y - 6 z = - 8 \\5 x - 2 y - 9 z = 0\end{array} \right.$
C) $\left\{ \begin{array} { r } - 9 x - 5 y - 7 z = 0 \\2 x - 6 y - 6 z = 0 \\5 x - 2 y - 9 z = 0\end{array} \right.$
D) $\left\{ \begin{array} { c } - 9 x - 5 y = 2 \\2 x - 6 y = - 14 \\5 x - 2 y = - 9\end{array} \right.$
E) $\left\{ \begin{array} { r } - 9 x - 5 y - 7 z + 9 v = 0 \\2 x - 6 y - 6 z - 8 v = 0 \\5 x - 2 y - 9 z + 0 v = 0\end{array} \right.$