Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 8 - Radical Functions - 8.4 Solving Radical Equations - 8.4 Exercises - Page 655: 83

Answer

$g= -\frac{20}{3}$

Work Step by Step

Given \begin{equation} 6 g+8=3(g-4). \end{equation} The is linear equation in the variable $g$. We solve it: \begin{equation} \begin{aligned} 6 g+8&=3(g-4)\\\ 6 g+8 & =3g-12\\ 6g-3g& =-12-8 \\ g& =-\frac{20}{3}. \end{aligned} \end{equation} The solution is $g= -\frac{20}{3}$.
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