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: 14

Answer

$t=4$

Work Step by Step

$\begin{align*} t+5&=9 &\text{Simplify the left side.}\\ t+5-5&=9-5 &\text{Subtract 5 from each side of the equation.}\\ t&=4 &\text{Simplify}. \end{align*}$ Check if the solution is correct by substituting $4$ to the variable in the original equation: $\begin{align*} t-(-5)&=9\\ 4-(-5)&\stackrel{?}{=}9\\ 4+5&\stackrel{>}{=}0\\ 9&\stackrel{\checkmark}{=}9 \end{align*}$ Thus, the solution is $t=4$.
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