For the augmented matrix, give the system of equations it represents. $\left[ \begin{array} { l l | l }
1 & 7 & 6 \
0 & 1 & 4
\end{array} \right]$
A) $\left\{ \begin{array} { r }
- x - 7 y = 0 \
- y = 0
\end{array} \right.$
B) $\left\{ \begin{array} { r }
- x - 7 y = 6 \
- y = 4
\end{array} \right.$
C) $\left\{ \begin{array} { r }
x + 7 y = 0 \
y = 0
\end{array} \right.$
D) $\left\{ \begin{aligned}
y + 7 x & = 6 \
y & = 4
\end{aligned} \right.$
E) $\left\{ \begin{array} { r }
x + 7 y = 6 \
y = 4
\end{array} \right.$

Question

For the augmented matrix, give the system of equations it represents. $\left[ \begin{array} { l l | l } 
1 & 7 & 6 \
0 & 1 & 4
\end{array} \right]$
A) $\left\{ \begin{array} { r } 
- x - 7 y = 0 \
- y = 0
\end{array} \right.$
B) $\left\{ \begin{array} { r } 
- x - 7 y = 6 \
- y = 4
\end{array} \right.$
C) $\left\{ \begin{array} { r } 
x + 7 y = 0 \
y = 0
\end{array} \right.$
D) $\left\{ \begin{aligned}
y + 7 x & = 6 \
y & = 4
\end{aligned} \right.$
E) $\left\{ \begin{array} { r } 
x + 7 y = 6 \
y = 4
\end{array} \right.$

Quizplus · Accepted Answer

The first row of the augmented matrix corresponds to the equation $x+7y=6$, and the second row corresponds to the equation $y=4$. Thus, the system of equations represented by the augmented matrix is $\boxed{	extbf{(E)}\ \left\{\begin{aligned} x+7y&=6 \ y&=4\end{aligned}ight.}$.

For the Augmented Matrix, Give the System of Equations It [176014]\left[ \begin{array} { l l | l } 1 & 7 & 6 \\0 & 1 & 4\end{array} \right][10​71​64​]

For the Augmented Matrix, Give the System of Equations It $\left[ \begin{array} { l l | l } 1 & 7 & 6 \\0 & 1 & 4\end{array} \right]$