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: 4

Answer

$g=8$

Work Step by Step

$$\begin{align*} 2g-13+13&=3+13 &\text{Add 13 to each side.}\\ 2g&=16 &\text{Simplify.}\\ \frac{2g}{2}&=\frac{16}{2} &\text{Divide 2 to both sides.}\\ g&=8 &\text{Simplify.}\\ \end{align*}$$ Check the answer by substituting $8$ to the variable in the given equation. $$\begin{align*} 2g-13&=3\\ 2(8)-13&\stackrel{?}{=}3\\ 16-13&\stackrel{?}{=}3\\ 3&\stackrel{\checkmark}{=}3 \end{align*}$$ Thus, the solution is $g=8$.
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