Write the augmented matrix for the system. Do not
-$$\begin{array} { l }
6 x + 7 y + 8 z = 63 \
5 x + 3 y + 2 z = 46 \
4 x + 9 y - 2 z = 23
\end{array}$$
A)
$$\left[ \begin{array} { r r r | r }
6 & 5 & 4 & 63 \
7 & 3 & 9 & 46 \
8 & 2 & - 2 & 23
\end{array} \right]$$
B)
$\left[ \begin{array} { r r r | r } 6 & 7 & 8 & 63 \ 5 & 3 & 2 & 46 \ 4 & 9 & - 2 & 23 \end{array} \right]$
C)
$\left[ \begin{array} { r r r | r } 63 & 8 & 7 & 6 \ 46 & 2 & 3 & 5 \ 23 & - 2 & 9 & 4 \end{array} \right]$
D)
$\left[ \begin{array} { r r r } 6 & 7 & 8 \ 5 & 3 & 2 \ 4 & 9 & - 2 \end{array} \right]$

Question

Write the augmented matrix for the system. Do not
-$$\begin{array} { l } 
6 x + 7 y + 8 z = 63 \
5 x + 3 y + 2 z = 46 \
4 x + 9 y - 2 z = 23
\end{array}$$
A)
$$\left[ \begin{array} { r r r | r } 
6 & 5 & 4 & 63 \
7 & 3 & 9 & 46 \
8 & 2 & - 2 & 23
\end{array} \right]$$
B)
$\left[ \begin{array} { r r r | r } 6 & 7 & 8 & 63 \ 5 & 3 & 2 & 46 \ 4 & 9 & - 2 & 23 \end{array} \right]$
C)
$\left[ \begin{array} { r r r | r } 63 & 8 & 7 & 6 \ 46 & 2 & 3 & 5 \ 23 & - 2 & 9 & 4 \end{array} \right]$
D)
$\left[ \begin{array} { r r r } 6 & 7 & 8 \ 5 & 3 & 2 \ 4 & 9 & - 2 \end{array} \right]$

Quizplus · Accepted Answer

The correct augmented matrix for the given system of equations aligns the coefficients of $x$, $y$, and $z$ in the first three columns, respectively, and the constants on the right side of the equation in the fourth column, exactly as shown in option B.

Write the Augmented Matrix for the System 6x+7y+8z=635x+3y+2z=464x+9y−2z=23\begin{array} { l } 6 x + 7 y + 8 z = 63 \\5 x + 3 y + 2 z = 46 \\4 x + 9 y - 2 z = 23\end{array}6x+7y+8z=635x+3y+2z=464x+9y−2z=23​

Write the Augmented Matrix for the System $\begin{array} { l } 6 x + 7 y + 8 z = 63 \\5 x + 3 y + 2 z = 46 \\4 x + 9 y - 2 z = 23\end{array}$