Write the augmented matrix for the system.
-$$\begin{array} { r }
5 x + 8 z = 37 \
8 y + 9 z = 7 \
4 x + 9 y + 3 z = 51
\end{array}$$
A) $\left[ \begin{array} { l l | l } 5 & 0 & 8 \ 0 & 8 & 9 \ 4 & 9 & 3 \end{array} \right]$
B) $\left[ \begin{array} { l l r | r } 5 & 0 & 4 & 37 \ 0 & 8 & 9 & 7 \ 8 & 9 & 3 & 51 \end{array} \right]$
C) $\left[ \begin{array} { r r r | r } 5 & 0 & 8 & 37 \ 0 & 8 & 9 & 7 \ 4 & 9 & 3 & 51 \end{array} \right]$
D) $\left[ \begin{array} { r r r | r } 5 & 8 & 0 & 37 \ 8 & 9 & 0 & 7 \ 4 & 9 & 3 & 51 \end{array} \right]$

Question

Write the augmented matrix for the system.
-$$\begin{array} { r } 
5 x + 8 z = 37 \
8 y + 9 z = 7 \
4 x + 9 y + 3 z = 51
\end{array}$$
A) $\left[ \begin{array} { l l | l } 5 & 0 & 8 \ 0 & 8 & 9 \ 4 & 9 & 3 \end{array} \right]$
B) $\left[ \begin{array} { l l r | r } 5 & 0 & 4 & 37 \ 0 & 8 & 9 & 7 \ 8 & 9 & 3 & 51 \end{array} \right]$
C) $\left[ \begin{array} { r r r | r } 5 & 0 & 8 & 37 \ 0 & 8 & 9 & 7 \ 4 & 9 & 3 & 51 \end{array} \right]$
D) $\left[ \begin{array} { r r r | r } 5 & 8 & 0 & 37 \ 8 & 9 & 0 & 7 \ 4 & 9 & 3 & 51 \end{array} \right]$

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 missing coefficient for $y$ in the first equation and $x$ in the second equation are represented as 0 in the matrix.

Write the Augmented Matrix for the System 5x+8z=378y+9z=74x+9y+3z=51\begin{array} { r } 5 x + 8 z = 37 \\8 y + 9 z = 7 \\4 x + 9 y + 3 z = 51\end{array}5x+8z=378y+9z=74x+9y+3z=51​

Write the Augmented Matrix for the System $\begin{array} { r } 5 x + 8 z = 37 \\8 y + 9 z = 7 \\4 x + 9 y + 3 z = 51\end{array}$