Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 1 - Solving Linear Equations - 1.4 - Solving Absolute Value Equations - Exercises - Page 32: 17

Answer

The solutions are $d=-5$ and $d=5$. The graph is shown below.

Work Step by Step

The given equation is $\Rightarrow |-3d|=15$ Write related linear equations. $\Rightarrow -3d=15$ or $-3d=-15$ Divide each side by $-3$. $\Rightarrow \frac{-3d}{-3}=\frac{15}{-3}$ or $ \frac{-3d}{-3}=\frac{15}{-3}$ Simplify. $\Rightarrow d=-5$ or $d=5$ The solutions are $d=-5$ and $d=5$.
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