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: 77

Answer

$x=\dfrac{5}{2}$

Work Step by Step

Using the properties of equality, the solution to the given equation, $ 19-3(2x-1)=7 $, is \begin{array}{l} 19-6x+3=7 \\\\ -6x=7-19-3 \\\\ -6x=-15 \\\\ x=\dfrac{-15}{-6} \\\\ x=\dfrac{5}{2} .\end{array} CHECKING: \begin{array}{l} 19-3(2\cdot\dfrac{5}{2}-1)=7 \\\\ 19-3(5-1)=7 \\\\ 19-3(4)=7 \\\\ 19-12=7 \\\\ 7=7 \text{ (TRUE)} .\end{array} Hence, the solution is $ x=\dfrac{5}{2} $.
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