Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 2 - Equations, Inequalities, and Problem Solving - Review Exercises: Chapter 2: 1

Answer

$equivalent$

Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the properties of equality to solve each of the given equations, $ 5x-4=2x $ and $ 3x=4 .$ If the solutions are the same, then the equations are equivalent. $\bf{\text{Solution Details:}}$ Using the properties of equality to isolate the variable, the first equation is equivalent to \begin{array}{l}\require{cancel} 5x-4=2x \\\\ 5x-2x=4 \\\\ 3x=4 \\\\ x=\dfrac{4}{3} .\end{array} Using the properties of equality to isolate the variable, the second equation is equivalent to \begin{array}{l}\require{cancel} 3x=4 \\\\ x=\dfrac{4}{3} .\end{array} Since the solutions of both of the given equations are the same, then the equations are $\text{ equivalent .}$
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