Write the augmented matrix for the system. Do not solve the system.
-$$\begin{aligned}
7 x - 2 z & = - 9 \
2 y + 7 z & = 9 \
7 x + 9 y + 4 z & = 6
\end{aligned}$$
A)
$\left[ \begin{array} { r r r } 7 & 0 & - 2 \ 0 & 2 & 7 \ 7 & 9 & 4 \end{array} \right]$

B)
$\left[ \begin{array} { r r r | r } 7 & 0 & 7 & - 9 \ 0 & 2 & 9 & 9 \ - 2 & 7 & 4 & 6 \end{array} \right]$

C)
$\left[ \begin{array} { r r r | r } 7 & 0 & - 2 & - 9 \ 0 & 2 & 7 & 9 \ 7 & 9 & 4 & 6 \end{array} \right]$

D)

$\left[ \begin{array} { r r r | r } 7 & - 2 & 0 & - 9 \ 2 & 7 & 0 & 9 \ 7 & 9 & 4 & 6 \end{array} \right]$

Question

Write the augmented matrix for the system. Do not solve the system.
-$$\begin{aligned}
7 x - 2 z & = - 9 \
2 y + 7 z & = 9 \
7 x + 9 y + 4 z & = 6
\end{aligned}$$
A)
$\left[ \begin{array} { r r r } 7 & 0 & - 2 \ 0 & 2 & 7 \ 7 & 9 & 4 \end{array} \right]$

B)
$\left[ \begin{array} { r r r | r } 7 & 0 & 7 & - 9 \ 0 & 2 & 9 & 9 \ - 2 & 7 & 4 & 6 \end{array} \right]$

C)
$\left[ \begin{array} { r r r | r } 7 & 0 & - 2 & - 9 \ 0 & 2 & 7 & 9 \ 7 & 9 & 4 & 6 \end{array} \right]$

D)

$\left[ \begin{array} { r r r | r } 7 & - 2 & 0 & - 9 \ 2 & 7 & 0 & 9 \ 7 & 9 & 4 & 6 \end{array} \right]$

Quizplus · Accepted Answer

The augmented matrix correctly represents the system of equations with the coefficients of $x$, $y$, and $z$ in the first three columns and the constants on the right side of the equation in the fourth column.

Write the Augmented Matrix for the System 7x−2z=−92y+7z=97x+9y+4z=6\begin{aligned}7 x - 2 z & = - 9 \\2 y + 7 z & = 9 \\7 x + 9 y + 4 z & = 6\end{aligned}7x−2z2y+7z7x+9y+4z​=−9=9=6​

Write the Augmented Matrix for the System $\begin{aligned}7 x - 2 z & = - 9 \\2 y + 7 z & = 9 \\7 x + 9 y + 4 z & = 6\end{aligned}$