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 - 2.2 Using the Principles Together - 2.2 Exercise Set: 78

Answer

$d=17$

Work Step by Step

Using the properties of equality, the solution to the given equation, $ 5(d+4)=7(d-2) $, is \begin{array}{l} 5d+20=7d-14 \\\\ 5d-7d=-14-20 \\\\ -2d=-34 \\\\ d=\dfrac{-34}{-2} \\\\ d=17 .\end{array} CHECKING: \begin{array}{l} 5(17+4)=7(17-2) \\\\ 5(21)=7(15) \\\\ 105=105 \text{ (TRUE)} .\end{array} Hence, the solution is $ d=17 $.
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