Write the System of Linear Equations Represented by the Augmented

Write the system of linear equations represented by the augmented matrix below. Use variables x , y , z , v , and w.
$\left[ \begin{array} { c c c c : c } - 4 & - 6 & - 7 & 7 & - 9 \\- 4 & - 3 & - 3 & - 7 & 9 \\- 2 & - 1 & - 5 & 7 & - 2 \\- 7 & - 7 & - 7 & - 7 & 3\end{array} \right]$

A) $\left\{ \begin{array} { l } - 4 x - 6 y - 7 z + 7 w = - 9 \\- 4 x - 3 y - 3 z - 7 w = 9 \\- 2 x - y - 5 z + 7 w = - 2 \\- 7 x - 7 y - 7 z - 7 w = 3\end{array} \right.$
B) $\left\{ \begin{array} { l } - 4 x - 6 y - 7 z + 7 w = - 16 \\- 4 x - 3 y - 3 z - 7 w = 6 \\- 2 x - y - 5 z + 7 w = - 7 \\- 7 x - 7 y - 7 z - 7 w = 10\end{array} \right.$
C) $\left\{ \begin{array} { r } - 4 x - 6 y - 7 z + 7 w - 9 = 0 \\- 4 x - 3 y - 3 z - 7 w + 9 = 0 \\- 2 x - y - 5 z + 7 w - 2 = 0 \\- 7 x - 7 y - 7 z - 7 w + 3 = 0\end{array} \right.$
D) $\left\{ \begin{array} { l } - 4 x - 6 y - 7 z = - 9 \\- 4 x - 3 y - 3 z = 9 \\- 2 x - y - 5 z = - 2 \\- 7 x - 7 y - 7 z = 3\end{array} \right.$
E) $\left\{ \begin{array} { r } - 4 x - 6 y - 7 z + 7 w = 0 \\- 4 x - 3 y - 3 z - 7 w = 0 \\- 2 x - y - 5 z + 7 w = 0 \\- 7 x - 7 y - 7 z - 7 w = 0\end{array} \right.$