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: 37

Answer

The lines are parallel. The system is inconsistent. There are no solutions.

Work Step by Step

The two lines have the same slope (m=2), but a different y-intercept. This means that they are parallel. Parallel lines have no intersections, so this system of equations has no solutions. The term we use for such system is that they are inconsistent.
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