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 - Page 94: 17



Work Step by Step

Using the properties of equality, the solution to the given equation, $ 3x-9=1 $, is \begin{array}{l} 3x-9+9=1+9 \\\\ 3x=10 \\\\ \dfrac{3x}{3}=\dfrac{10}{3} \\\\ x=\dfrac{10}{3} .\end{array} Checking: \begin{array}{l} 3\left( \dfrac{10}{3} \right)-9=1 \\\\ 10-9=1 \\\\ 1=1 \text{ (TRUE)} .\end{array} Hence, the solution is $ x=\dfrac{10}{3} $.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.