Intermediate Algebra (6th Edition)

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

Chapter 6 - Section 6.5 - Solving Equations Containing Rational Expressions - Exercise Set - Page 379: 75

Answer

$x=3$

Work Step by Step

In the given equation (item $ 23 $), $ \dfrac{5}{x}=\dfrac{20}{12} ,$ let \begin{array}{l}\require{cancel}y_1 =\dfrac{5}{x} ,\\\\y_2= \dfrac{20}{12}.\end{array} Using a graphing calculator, the red graph is the graph of $y_1$ and the blue graph is the graph of $y_2.$ The solution is the $x$-coordinate of the point of intersection/s of the two graphs. Hence, based on the graph, the solution is $ x=3 .$ This confirms the algebraic solution of the said item.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.