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 9: 38

Answer

$x=-2.8$

Work Step by Step

Use the Multiplication Property of Equality by multiplying $-2$ to both sides of the equation: $$\begin{align*} \left[x\div(-2)\right]\times (-2)&=1.4\times (-2)\\ x&=-2.8\end{align*}$$ Check the solution by substituting $-2.8$ to the variable in the given equation: $$\begin{align*} x\div(-2)&=1.4j\\ -2.8\div (-2)\stackrel{?}{=}1.4\\ 1.4&\stackrel{\checkmark}{=}1.4\end{align*}$$ Thus, the solution is $x=-2.8$.
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