## Precalculus (10th Edition)

Consistent Solution: $\{(5,-1)\}$
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: $\{(5,-1)\}$