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 - 1.1 - Solving Simple Equations - Exercises - Page 8: 25

Answer

$r=-8$

Work Step by Step

Use the Division Property of Equality by dividing $-8$ to both sides of the equation: $$\begin{align*} \frac{-8r}{-8}&=\frac{64}{-8}\\ r&=-8\end{align*}$$ Check the solution by substituting $-8$ to the variable in the given equation: $$\begin{align*} -8r&=64\\ -8(-8)&\stackrel{?}{=}64\\ 64&\stackrel{\checkmark}{=}64\end{align*}$$ Thus, the solution is $r=-8$.
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