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: 12

Answer

$n=4$

Work Step by Step

$$\begin{align*} 36&=9n &\text{Combine like terms.}\\ \\\frac{36}{9}&=\frac{9n}{9} &\text{Divide both sides by 9.}\\ \\4&=n&\text{Simplify.} \end{align*}$$ Check the answer by substituting $4$ to the variable in the given equation. $$\begin{align*} 36&=13n-4n\\ 36&\stackrel{?}{=}13(4)-4(4)\\ 36&\stackrel{?}{=}52-16\\ 36&\stackrel{\checkmark}{=}36 \end{align*}$$ Thus, the solution is $n=4$.
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