## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson

# Chapter 2 - Equations, Inequalities, and Problem Solving - 2.2 Using the Principles Together - 2.2 Exercise Set: 94

#### Answer

$b=-7.4$

#### Work Step by Step

Using the properties of equality, the solution to the given equation, $0.8-4(b-1)=0.2+3(4-b)$, is \begin{array}{l} 0.8-4b+4=0.2+12-3b \\\\ -4b+3b=0.2+12-0.8-4 \\\\ -b=7.4 \\\\ b=-7.4 .\end{array} CHECKING: \begin{array}{l} 0.8-4(-7.4-1)=0.2+3(4-(-7.4)) \\\\ 0.8-4(-8.4)=0.2+3(11.4) \\\\ 0.8+33.6=0.2+34.2 \\\\ 34.4=34.4 \text{ (TRUE)} .\end{array} Hence, the solution is $b=-7.4$.

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