Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 7 - Section 7.1 - Systems of Linear Equations in Two Variables - Concept and Vocabulary Check - Page 817: 6


$\emptyset$, $inconsistent$, $parallel$.

Work Step by Step

In the case that we get $0=3$, this means that the system of equations are inconsistent and have no solutions. In other words, the solution set is an empty set $\emptyset$. The linear system is an $inconsistent$ system. For such systems, the graph of the lines will be $parallel$; that is, there are no intersections or solutions. To summarize, the answers to this question are: $\emptyset$, $inconsistent$, and $parallel$.
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