Write the System of Equations Associated with the Augmented Matrix $$\left[ \begin{array} { r r r | r } 3 & 6 & 2 & - 2 \\6 & 0 & 7 & 4 \\2 & 7 & 0 & 2\end{array} \right]$$

Multiple Choice

Write the system of equations associated with the augmented matrix. Do not solve.
- $$\left[ \begin{array} { r r r | r } 3 & 6 & 2 & - 2 \\6 & 0 & 7 & 4 \\2 & 7 & 0 & 2\end{array} \right]$$

A) $\left\{ \begin{array} { l } 3 x - 6 y + 2 z = - 2 \\ 6 x + 7 z = - 4 \\ 2 x + 7 y = - 2 \end{array} \right.$

B) $\left\{ \begin{array} { l } 3 x + 6 y + 2 z = - 2 \\ 6 x + 7 z = 4 \\ 2 x + 7 y = 2 \end{array} \right.$

C) $\left\{ \begin{array} { l } 3 x + 6 y + 2 z = - 2 \\ 6 x + 7 z = 4 \\ 2 x + 7 z = 2 \end{array} \right.$