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 2 - Solving Linear Inequalities - 2.3 - Solving Inequalities Using Multiplication or Division - Exercises - Page 72: 42

Answer

$n=1$

Work Step by Step

The given equation is $\Rightarrow -3n+2=2n-3$ Add $3n+3$ to each side. $\Rightarrow -3n+2+3n+3=2n-3+3n+3$ Simplify. $\Rightarrow 5=5n$ Divide each side by $5$. $\Rightarrow \frac{5}{5}=\frac{5n}{5}$ Simplify. $\Rightarrow 1=n$. Check:- $n=1$ $\Rightarrow -3(1)+2=2(1)-3$ $\Rightarrow -3+2=2-3$ $\Rightarrow -1=-1$ True. Hence, the solution is $n=1$.
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