Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 9 - Systems and Matrices - Chapter 9 Test Prep - Review Exercises - Page 951: 5

Answer

The system of equations is inconsistent and has no solutions.

Work Step by Step

The systems of equations are written as: $y=-x+3 ~~~(1) \\2x+2y=1 ~~~(2)$ Substitute equation -(1) into equation-2 to get: $2x+2(-x+3)=1\\ 2x-2x=1-3 \\ 0=-2 $ Since 0 never equals -2, the system of equations is inconsistent and has no solutions.
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