Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 2 - Sections 2.1-2.4 - Integrated Review - Linear Equations and Inequalities - Page 88: 21

Answer

t=29

Work Step by Step

$\frac{3t+1}{8}=\frac{5+2t}{7}+2$ Multiply each side by 56, the least common multiple, to eliminate fractions. $56(\frac{3t+1}{8})=56(\frac{5+2t}{7})+(56)(2)$ $7(3t+1)=8(5+2t)+112$ Apply the distributive property. $21t+7=40+16t+112$ Combine like terms. $21t+7=16t+152$ Subtract 16t from both sides. Subtract 7 from both sides. $21t+7-16t=16t+152-16t$ $5t+7=152$ $5t+7-7=152-7$ $5t=145$ Divide both sides by 5. $5t\div5=145\div5$ $t=29$
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