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 - 1.2 - Solving Multi-Step Equations - Exercises - Page 16: 9

Answer

$h=4$

Work Step by Step

$$\begin{align*} 5 \cdot \frac{h+6}{5}&=5\cdot2 &\text{Multiply 5 to both sides.}\\ h+6&=10 &\text{Simplify.}\\ h+6-6&=10-6&\text{Subtract 6 to both sides.}\\ h&=4 &\text{Simplify.} \end{align*}$$ Check the answer by substituting $4$ to the variable in the given equation. $$\begin{align*} \frac{h+6}{5}&=2\\ \frac{4+6}{5}&\stackrel{?}{=}2\\ 2&\stackrel{\checkmark}{=}2 \end{align*}$$ Thus, the solution is $h=4$.
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