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: 15

Answer

$t=5$

Work Step by Step

Using the properties of equality, the solution to the given equation, $ 7t-8=27 $, is \begin{array}{l} 7t-8+8=27+8 \\\\ 7t=35 \\\\ \dfrac{7t}{7}=\dfrac{35}{7} \\\\ t=5 .\end{array} Checking: \begin{array}{l} 7(5)-8=27 \\\\ 35-8=27 \\\\ 27=27 \text{ (TRUE)} .\end{array} Hence, the solution is $ t=5 $.
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