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: 30

Answer

$t=-49$

Work Step by Step

Use the Multiplication Property of Equality by multiplying $7$ to both sides of the equation: $$\begin{align*} -7(7)&=\frac{t}{7} \cdot 7\\ -49&=t\end{align*}$$ Check the solution by substituting $-49$ to the variable in the given equation: $$\begin{align*} -7&=\frac{t}{7}\\ -7&\stackrel{?}{=}\frac{-49}{7}\\ -7&\stackrel{\checkmark}{=}-7\end{align*}$$ Thus, the solution is $t=-49$.
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