Write the augmented matrix for the system.
-$$\left\{ \begin{aligned}
8 x - 2 z & = 60 \
9 y + 7 z & = 33 \
2 x - 2 y + 9 z & = 74
\end{aligned} \right.$$
A) $\left[ \begin{array} { r r r | r } 8 & - 2 & 0 & 60 \ 9 & 7 & 0 & 33 \ 2 & - 2 & 9 & 74 \end{array} \right]$

B) $\left[ \begin{array} { r r | r } 8 & 0 & - 2 \ 0 & 9 & 7 \ 2 & - 2 & 9 \end{array} \right]$

C) $\left[ \begin{array} { r r r | r } 8 & 0 & 2 & 60 \ 0 & 9 & - 2 & 33 \ - 2 & 7 & 9 & 74 \end{array} \right]$

D) $\left[ \begin{array} { r r r | r } 8 & 0 & - 2 & 60 \ 0 & 9 & 7 & 33 \ 2 & - 2 & 9 & 74 \end{array} \right]$

Question

Write the augmented matrix for the system.
-$$\left\{ \begin{aligned}
8 x - 2 z & = 60 \
9 y + 7 z & = 33 \
2 x - 2 y + 9 z & = 74
\end{aligned} \right.$$
A) $\left[ \begin{array} { r r r | r } 8 & - 2 & 0 & 60 \ 9 & 7 & 0 & 33 \ 2 & - 2 & 9 & 74 \end{array} \right]$

B) $\left[ \begin{array} { r r | r } 8 & 0 & - 2 \ 0 & 9 & 7 \ 2 & - 2 & 9 \end{array} \right]$

C) $\left[ \begin{array} { r r r | r } 8 & 0 & 2 & 60 \ 0 & 9 & - 2 & 33 \ - 2 & 7 & 9 & 74 \end{array} \right]$

D) $\left[ \begin{array} { r r r | r } 8 & 0 & - 2 & 60 \ 0 & 9 & 7 & 33 \ 2 & - 2 & 9 & 74 \end{array} \right]$

Quizplus · Accepted Answer

The augmented matrix correctly represents the system of equations with the coefficients of $x$, $y$, and $z$ in their respective columns and the constants on the right side of the bar. The order of the coefficients and constants matches the equations given.

Write the Augmented Matrix for the System {8x−2z=609y+7z=332x−2y+9z=74\left\{ \begin{aligned}8 x - 2 z & = 60 \\9 y + 7 z & = 33 \\2 x - 2 y + 9 z & = 74\end{aligned} \right.⎩⎨⎧​8x−2z9y+7z2x−2y+9z​=60=33=74​

Write the Augmented Matrix for the System $\left\{ \begin{aligned}8 x - 2 z & = 60 \\9 y + 7 z & = 33 \\2 x - 2 y + 9 z & = 74\end{aligned} \right.$