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: 27

Answer

$x=48$

Work Step by Step

Use the Multiplication Property of Equality by multiplying $6$ to both sides of the equation: $$\begin{align*} \frac{x}{6} \cdot 6&=8 \cdot 6\\ x&=48\end{align*}$$ Check the solution by substituting $48$ to the variable in the given equation: $$\begin{align*} \frac{x}{6}&=8\\ \frac{48}{6}&\stackrel{?}{=}8\\ 8&\stackrel{\checkmark}{=}8\end{align*}$$ Thus, the solution is $x=48$.
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