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: 28

Answer

$w=-18$

Work Step by Step

Use the Multiplication Property of Equality by multiplying $-3$ to both sides of the equation: $$\begin{align*} \frac{w}{-3} \cdot (-3)&=6(-3)\\ w&=-18\end{align*}$$ Check the solution by substituting $-18$ to the variable in the given equation: $$\begin{align*} \frac{w}{-3}&=6\\ \frac{-18}{-3}&\stackrel{?}{=}6\\ 6&\stackrel{\checkmark}{=}6\end{align*}$$ Thus, the solution is $w=-18$.
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