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 - 2.2 Solving Systems of Equations Using the Substitution Method - 2.2 Exercises - Page 154: 48

Answer

Infinite number of solutions (consistent dependent system)

Work Step by Step

Given: $$\begin{cases} n &= \frac{3}{8}m - \frac{7}{8}\\ &= 0.375m-0.875\\ n& =0.375m-0.875. \end{cases}$$ We are asked to use the method of substitution to solve the given system. However, we see that both equations are identical. It follows that the system is consistent with dependent lines and has an infinite number of solutions.
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