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: 24

Answer

$y=7$

Work Step by Step

Use the Multiplication Property of Equality by multiplying $7$ to both sides of the equation: $$\begin{align*} (y\div7) \times 7&=1 \times 7\\ y&=7\end{align*}$$ Check the solution by substituting $7$ to the variable in the given equation: $$\begin{align*} y\div7&=1\\ 7\div 7&\stackrel{?}{=}1\\ 1&\stackrel{\checkmark}{=}1\end{align*}$$ Thus, the solution is $y=7$.
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