Represent the system of equations using an augmented matrix. $\left\{ \begin{array} { l }
3 x + 2 y = 5 \
x - y = - 5
\end{array} \right.$
A) $\left[ \begin{array} { c c | c }
3 & 2 & 5 \
1 & - 1 & 5
\end{array} \right]$
B) $$\left. \begin{array} { l l | l }
3 & 2 & 0 \
1 & 1 & 0
\end{array} \right]$$
C) $\left[ \begin{array} { c c | c }
3 & 2 & 0 \
1 & - 1 & 0
\end{array} \right]$
D) $\left[ \begin{array} { c c | c }
3 & 2 & 5 \
1 & 1 & - 5
\end{array} \right]$
E) $\left[ \begin{array} { c c | c }
3 & 2 & 5 \
1 & - 1 & - 5
\end{array} \right]$

Question

Represent the system of equations using an augmented matrix. $\left\{ \begin{array} { l } 
3 x + 2 y = 5 \
x - y = - 5
\end{array} \right.$
A) $\left[ \begin{array} { c c | c } 
3 & 2 & 5 \
1 & - 1 & 5
\end{array} \right]$
B) $$\left. \begin{array} { l l | l } 
3 & 2 & 0 \
1 & 1 & 0
\end{array} \right]$$
C) $\left[ \begin{array} { c c | c } 
3 & 2 & 0 \
1 & - 1 & 0
\end{array} \right]$
D) $\left[ \begin{array} { c c | c } 
3 & 2 & 5 \
1 & 1 & - 5
\end{array} \right]$
E) $\left[ \begin{array} { c c | c } 
3 & 2 & 5 \
1 & - 1 & - 5
\end{array} \right]$

Quizplus · Accepted Answer

The augmented matrix correctly represents the system of equations by placing the coefficients of $x$ and $y$ in the first two columns and the constants on the right side of the bar. The first row corresponds to $3x + 2y = 5$, and the second row corresponds to $x - y = -5$, exactly as in option E.

Represent the System of Equations Using an Augmented Matrix {3x+2y=5x−y=−5\left\{ \begin{array} { l } 3 x + 2 y = 5 \\x - y = - 5\end{array} \right.{3x+2y=5x−y=−5​

Represent the System of Equations Using an Augmented Matrix $\left\{ \begin{array} { l } 3 x + 2 y = 5 \\x - y = - 5\end{array} \right.$