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 18: 62

Answer

Only $x=2$ is a solution of the given equation.

Work Step by Step

Substitute each value of $x$ into the equation. If the resulting equation is true, then the number is a solution of the given equation. $\text(a)$ Substitute $-1$ to $x$: $\begin{align*} 2x-1&=3\\ 2(-1)-1&\stackrel{?}{=}3\\ -3&\not=3 \end{align*}$ Thus, $x=-1$ is NOT a solution of the given equation. $\text(b)$ Substitute $2$ to $x$: $\begin{align*} 2x-1&=3\\ 2(2)-1&\stackrel{?}{=}3\\ 3&\stackrel{\checkmark}{=}3 \end{align*}$ Thus, $x=2$ is a solution of the given equation.
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