Answer
Consistent
Solution set: $\{(-4,0)\}$
Work Step by Step
We are given the reduced row echelon form of a system of linear equations:
$\begin{bmatrix}1&0&|&-4\\0&1&|&0\end{bmatrix}$
Write the system of equations corresponding to the given matrix:
$\begin{cases}
1x+0y=-4\\
0x+1y=0
\end{cases}$
$\begin{cases}
x=-4\\
y=0
\end{cases}$
The system is consistent, and its solution set is:
$\{(-4,0)\}$
