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: 58

Answer

$t=-1$

Work Step by Step

To clear the decimals in the equation, multiply both sides by 100. $100(1.7t+8-1.62t)=100(0.4t-0.32+8)$ Use the distributive property to separate the terms. $100(1.7t)+100(8)-100(1.62t)=100(0.4t)-100(0.32)+100(8)$ $170t+800-162t=40t=32+800$ Move all of the pronumerals to the left side. $170t-162t-40t=32+800-800$ $-32t=32$ $-t=1$ $t=-1$
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