Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 2 - Systems of Linear Equations and Inequalities - 2.1 Systems of Linear Equations - 2.1 Exercises - Page 142: 29

Answer

there is no solution; the system is inconsistent

Work Step by Step

Using a table of values, the graphs of the given equations are shown below. The solution to the given system is the point of intersection of the graphs of the equations. Since the two graphs did not intersect, then there is no solution to the given system. Since the lines are parallel, then the system is inconsistent.
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