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: 7

Answer

$z=-32$

Work Step by Step

$$\begin{align*} 5+3&=\frac{z}{-4}-3+3 &\text{Add 3 to both sides.}\\ 8&=\frac{z}{-4} &\text{Simplify.}\\ 8(-4)&=\frac{z}{-4} \cdot (-4) &\text{Multip-ly -4 to both sides.}\\ -32&=z &\text{Simplify.}\\ \end{align*}$$ Check the answer by substituting $-32$ to the variable in the given equation. $$\begin{align*} 5&=\frac{z}{-4}-3\\ 5&\stackrel{?}{=}\frac{-32}{-4}-3\\ 5&\stackrel{?}{=}8-3\\ 5&\stackrel{\checkmark}{=}5 \end{align*}$$ Thus, the solution is $z=-32$.
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