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: 23

Answer

$p=15$

Work Step by Step

Use the Multiplication Property of Equality by multiplying $5$ to both sides of the equation: $$\begin{align*} (p\div5) \times 5&=3 \times 5\\ p&=15\end{align*}$$ Check the solution by substituting $15$ to the variable in the given equation: $$\begin{align*} p\div5&=3\\ 15\div 5&\stackrel{?}{=}3\\ 3&\stackrel{\checkmark}{=}3\end{align*}$$ Thus, the solution is $p=15$.
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