Answer
Consistent
Solution: $\{(5,-1)\}$
Work Step by Step
We are given the reduced row echelon form of a system of linear equations:
$\begin{bmatrix}1&0&|&5\\0&1&|&-1\end{bmatrix}$
Write the system of equations corresponding to the given matrix:
$\begin{cases}
1x+0y=5\\
0x+1y=-1
\end{cases}$
$\begin{cases}
x=5\\
y=-1
\end{cases}$
The system is consistent, and its solution set is:
$\{(5,-1)\}$
