Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 1 - Expressions, Equations, and Inequalities - 1-4 Solving Equations - Practice and Problem-Solving Exercises - Page 31: 40

Answer

$x = \frac{5}{2}g - 1$

Work Step by Step

Use distributive property to eliminate the parentheses: $\frac{2}{5}x + \frac{2}{5} = g$ Subtract $\frac{2}{5}$ from both sides of the equation: $\frac{2}{5}x = g - \frac{2}{5}$ Divide both sides of the equation by $\frac{2}{5}$. This means that we will multiply by its reciprocal, which is $\frac{5}{2}$: $x = \frac{5}{2}g - \left(\frac{2}{5})(\frac{5}{2}\right)$ Multiply fractions to simplify: $x = \frac{5}{2}g - \frac{10}{10}$ Simplify the fraction: $x = \frac{5}{2}g - 1$
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