Write the System of Equations Associated with the Augmented Matrix $$\left[ \begin{array} { r r r | r } 5 & 6 & - 9 & - 9 \\6 & 5 & 0 & - 4 \\- 3 & 0 & 3 & 7\end{array} \right]$$

Multiple Choice

Write the system of equations associated with the augmented matrix. Do not solve.
- $$\left[ \begin{array} { r r r | r } 5 & 6 & - 9 & - 9 \\6 & 5 & 0 & - 4 \\- 3 & 0 & 3 & 7\end{array} \right]$$

A) $5 x + 6 y - 9 z = - 9$
$\begin{array} { r r } 6 x + 5 y & = - 4 \\ - 3 x + 3 y & = 7 \end{array}$

B) $5 x + 6 y - 9 z = - 9$
$6 x + 5 z = - 4$
$- 3 x + 3 y = 7$

C) $5 x + 6 y - 9 z = - 9$
$6 x + 5 y - 4 z = 0$
$- 3 x + 3 y + 7 z = 0$

D) $5 x + 6 y - 9 z = - 9$
$6 x + 5 y = - 4$
$- 3 x \quad + 3 z = 7$