Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 4 - Section 4.3 - Solving Systems of Linear Equations by Addition - Exercise Set - Page 309: 53

Answer

We know the system has no solution when we have a false statement.

Work Step by Step

Example system: $x+y=2$ and $-x-y=1$ $x+y=2$ $-x-y=1$ $x+y+(-x-y)=2+1$ $0 = 3$ We know this is not a true statement, so we also know there are no solutions to the system.
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