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: 10

Answer

$d=-16$

Work Step by Step

$$\begin{align*} -2 \cdot \frac{d-8}{-2}&=-2 \cdot 12 &\text{Multiply -2 to both sides.}\\ d-8&=-24 &\text{Simplify.}\\ d-8+8&=-24+8 &\text{Add 8 to both sides.}\\ d&=-16 &\text{Simplify.} \end{align*}$$ Check the answer by substituting $-16$ to the variable in the given equation. $$\begin{align*} \frac{d-8}{-2}&=12\\ \frac{-16-8}{-2}&\stackrel{?}{=}12\\ 12&\stackrel{\checkmark}{=}12 \end{align*}$$ Thus, the solution is $d=-16$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.