Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 2 - Section 2.1 - Linear Equations in One Variable - Exercise Set: 24

Answer

$x=\frac{25}{14}$

Work Step by Step

We are given that $\frac{x}{2}+\frac{x}{5}=\frac{5}{4}$. First, we can multiply each term by 20. Since this is the least common denominator of each term, this will eliminate all fractions from the equation. $\frac{x}{2}\times20+\frac{x}{5}\times20=\frac{5}{4}\times20$ $10x+4x=25$ Group like terms on the left side. $14x=25$ Divide both sides by 14. $x=\frac{25}{14}$
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