Write the augmented matrix for the system.
-$$\left\{ \begin{aligned}
4 x + 9 y + 2 z & = 30 \
- 2 x + 6 y + 2 z & = 0 \
9 x + 6 y + 5 z & = 38
\end{aligned} \right.$$
A) $\left[ \begin{array} { r r | r } 4 & 9 & 2 \ - 2 & 6 & 2 \ 9 & 6 & 5 \end{array} \right]$

B) $\left[ \begin{array} { r r r | r } 30 & 2 & 9 & 4 \ 0 & 2 & 6 & - 2 \ 38 & 5 & 6 & 9 \end{array} \right]$

C) $\left[ \begin{array} { r r r | r } 4 & 9 & 2 & 30 \ - 2 & 6 & 2 & 0 \ 9 & 6 & 5 & 38 \end{array} \right]$

D) $\left[ \begin{array} { r r r | r } 4 & - 2 & 9 & 30 \ 9 & 6 & 6 & 0 \ 2 & 2 & 5 & 38 \end{array} \right]$

Question

Write the augmented matrix for the system.
-$$\left\{ \begin{aligned}
4 x + 9 y + 2 z & = 30 \
- 2 x + 6 y + 2 z & = 0 \
9 x + 6 y + 5 z & = 38
\end{aligned} \right.$$
A) $\left[ \begin{array} { r r | r } 4 & 9 & 2 \ - 2 & 6 & 2 \ 9 & 6 & 5 \end{array} \right]$

B) $\left[ \begin{array} { r r r | r } 30 & 2 & 9 & 4 \ 0 & 2 & 6 & - 2 \ 38 & 5 & 6 & 9 \end{array} \right]$

C) $\left[ \begin{array} { r r r | r } 4 & 9 & 2 & 30 \ - 2 & 6 & 2 & 0 \ 9 & 6 & 5 & 38 \end{array} \right]$

D) $\left[ \begin{array} { r r r | r } 4 & - 2 & 9 & 30 \ 9 & 6 & 6 & 0 \ 2 & 2 & 5 & 38 \end{array} \right]$

Quizplus · Accepted Answer

The augmented matrix for a system of equations is formed by writing the coefficients of the variables in each equation as the rows of the matrix, with the constants on the right side of the vertical bar. Choice C correctly represents the system of equations given, with the coefficients and constants in their respective places.

Write the Augmented Matrix for the System {4x+9y+2z=30−2x+6y+2z=09x+6y+5z=38\left\{ \begin{aligned}4 x + 9 y + 2 z & = 30 \\- 2 x + 6 y + 2 z & = 0 \\9 x + 6 y + 5 z & = 38\end{aligned} \right.⎩⎨⎧​4x+9y+2z−2x+6y+2z9x+6y+5z​=30=0=38​

Write the Augmented Matrix for the System $\left\{ \begin{aligned}4 x + 9 y + 2 z & = 30 \\- 2 x + 6 y + 2 z & = 0 \\9 x + 6 y + 5 z & = 38\end{aligned} \right.$