Write the augmented matrix for the system.
-$$\left\{ \begin{array} { r }
- 2 x + 8 y = 28 \
5 y = 20
\end{array} \right.$$
A) $\left[ \begin{array} { r | r | r } 5 & 0 & 20 \ - 2 & 8 & 8 \end{array} \right]$
B) $\left[ \begin{array} { r r | r } 28 & 8 & - 2 \ 20 & 0 & 5 \end{array} \right]$
C) $\left[ \begin{array} { r r | r } - 2 & 8 & 28 \ 0 & 5 & 20 \end{array} \right]$
D) $\left[ \begin{array} { r r | r } - 2 & 8 & 28 \ 5 & 20 & 0 \end{array} \right]$

Question

Write the augmented matrix for the system.
-$$\left\{ \begin{array} { r } 
- 2 x + 8 y = 28 \
5 y = 20
\end{array} \right.$$
A) $\left[ \begin{array} { r | r | r } 5 & 0 & 20 \ - 2 & 8 & 8 \end{array} \right]$
B) $\left[ \begin{array} { r r | r } 28 & 8 & - 2 \ 20 & 0 & 5 \end{array} \right]$
C) $\left[ \begin{array} { r r | r } - 2 & 8 & 28 \ 0 & 5 & 20 \end{array} \right]$
D) $\left[ \begin{array} { r r | r } - 2 & 8 & 28 \ 5 & 20 & 0 \end{array} \right]$

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 bar. For the given system, the first row corresponds to the coefficients and constant from the first equation $-2x + 8y = 28$, and the second row corresponds to the coefficients and constant from the second equation $5y = 20$, with an implicit coefficient of 0 for $x$ in the second equation. This matches option C.

Write the Augmented Matrix for the System {−2x+8y=285y=20\left\{ \begin{array} { r } - 2 x + 8 y = 28 \\5 y = 20\end{array} \right.{−2x+8y=285y=20​

Write the Augmented Matrix for the System $\left\{ \begin{array} { r } - 2 x + 8 y = 28 \\5 y = 20\end{array} \right.$