Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 11 - Systems of Equations and Inequalities - 11.2 Systems of Linear Equations: Matrices - 11.2 Assess Your Understanding - Page 731: 27


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