Write the augmented matrix for the system.
-$$\left\{ \begin{array} { c }
- 2 x + 6 y = 8 \
5 y = 20
\end{array} \right.$$
A) $\left[ \begin{array} { r r | r } 8 & 6 & - 2 \ 20 & 0 & 5 \end{array} \right]$

B) $\left[ \begin{array} { r r | r } 5 & 0 & 20 \ - 2 & 6 & 6 \end{array} \right]$

C) $\left[ \begin{array} { r r | r } - 2 & 6 & 8 \ 0 & 5 & 20 \end{array} \right]$

D) $\left[ \begin{array} { r r | r } - 2 & 6 & 8 \ 5 & 20 & 0 \end{array} \right]$

Question

Write the augmented matrix for the system.
-$$\left\{ \begin{array} { c } 
- 2 x + 6 y = 8 \
5 y = 20
\end{array} \right.$$
A) $\left[ \begin{array} { r r | r } 8 & 6 & - 2 \ 20 & 0 & 5 \end{array} \right]$

B) $\left[ \begin{array} { r r | r } 5 & 0 & 20 \ - 2 & 6 & 6 \end{array} \right]$

C) $\left[ \begin{array} { r r | r } - 2 & 6 & 8 \ 0 & 5 & 20 \end{array} \right]$

D) $\left[ \begin{array} { r r | r } - 2 & 6 & 8 \ 5 & 20 & 0 \end{array} \right]$

Quizplus · Accepted Answer

The augmented matrix is formed by writing the coefficients of the variables in each equation, followed by the constants on the right side of the equal sign. The first equation is $-2x + 6y = 8$, and the second equation is $5y = 20$, which can be written as $0x + 5y = 20$ to make the coefficients clear. Therefore, the correct augmented matrix is $\left[ \begin{array} { r r | r } - 2 & 6 & 8 \ 0 & 5 & 20 \end{array} \right]$.

Write the Augmented Matrix for the System {−2x+6y=85y=20\left\{ \begin{array} { c } - 2 x + 6 y = 8 \\5 y = 20\end{array} \right.{−2x+6y=85y=20​

Write the Augmented Matrix for the System $\left\{ \begin{array} { c } - 2 x + 6 y = 8 \\5 y = 20\end{array} \right.$