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: 85

Answer

$t=8$

Work Step by Step

Using the properties of equality, the solution to the given equation, $ \dfrac{3}{4}(3t-4)=15 $, is \begin{array}{l} \dfrac{4}{3}\left[\dfrac{3}{4}(3t-4)\right]=15\left[ \dfrac{4}{3}\right] \\\\ 3t-4=5(4) \\\\ 3t=20+4 \\\\ 3t=24 \\\\ t=\dfrac{24}{3} \\\\ t=8 .\end{array} CHECKING: \begin{array}{l} \dfrac{3}{4}(3\cdot8-4)=15 \\\\ \dfrac{3}{4}(24-4)=15 \\\\ \dfrac{3}{4}(20)=15 \\\\ 3(5)=15 \\\\ 15=15 \text{ (TRUE)} .\end{array} Hence, the solution is $ t=8 $.
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.