Write the system of equations associated with the augmented matrix. Do not solve.
-$$\left[ \begin{array} { r r r | r }
8 & 8 & - 8 & 7 \
6 & 6 & 0 & 9 \
3 & 0 & - 4 & - 6
\end{array} \right]$$
A)
$$\left\{ \begin{array} { l }
8 x + 8 y - 8 z = 7 \
6 x + 6 y = 9 \
3 x - 4 y = - 6
\end{array} \right.$$
B)
$$\left\{ \begin{array} { r }
8 x + 8 y - 8 z = 7 \
6 x + 6 y = 9 \
3 x - 4 z = - 6
\end{array} \right.$$
C)
$$\left\{ \begin{array} { l }
8 x + 8 y - 8 z = 7 \
6 x + 6 y + 9 z = 0 \
3 x - 4 y - 6 z = 0
\end{array} \right.$$
D)
$$\left\{ \begin{aligned}
8 x + 8 y - 8 z & = 7 \
6 x + 6 z & = 9 \
3 x - 4 y & = - 6
\end{aligned} \right.$$

Question

Write the system of equations associated with the augmented matrix. Do not solve.
-$$\left[ \begin{array} { r r r | r } 
8 & 8 & - 8 & 7 \
6 & 6 & 0 & 9 \
3 & 0 & - 4 & - 6
\end{array} \right]$$
A)
$$\left\{ \begin{array} { l } 
8 x + 8 y - 8 z = 7 \
6 x + 6 y = 9 \
3 x - 4 y = - 6
\end{array} \right.$$
B)
$$\left\{ \begin{array} { r } 
8 x + 8 y - 8 z = 7 \
6 x + 6 y = 9 \
3 x - 4 z = - 6
\end{array} \right.$$
C)
$$\left\{ \begin{array} { l } 
8 x + 8 y - 8 z = 7 \
6 x + 6 y + 9 z = 0 \
3 x - 4 y - 6 z = 0
\end{array} \right.$$
D)
$$\left\{ \begin{aligned}
8 x + 8 y - 8 z & = 7 \
6 x + 6 z & = 9 \
3 x - 4 y & = - 6
\end{aligned} \right.$$

Quizplus · Accepted Answer

The correct system of equations is derived directly from the augmented matrix, with each row representing an equation. The variables $x$, $y$, and $z$ correspond to the columns in the order they appear, and the constants on the right side of the equations are the entries in the last column of the matrix.

Write the System of Equations Associated with the Augmented Matrix [88−87660930−4−6]\left[ \begin{array} { r r r | r } 8 & 8 & - 8 & 7 \\6 & 6 & 0 & 9 \\3 & 0 & - 4 & - 6\end{array} \right]​863​860​−80−4​79−6​​

Write the System of Equations Associated with the Augmented Matrix $\left[ \begin{array} { r r r | r } 8 & 8 & - 8 & 7 \\6 & 6 & 0 & 9 \\3 & 0 & - 4 & - 6\end{array} \right]$