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 140: 12

Answer

the solution is $(-5,3)$; the system is consistent; the lines are independent

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. Hence, the solution to the given system is $ (-5,3) $. Since the graphs intersect, then the system is consistent. Since there is only $1$ point of intersection, then the lines are independent.
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