Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 5 - Section 5.1 - Ratios, Rates, and Proportions - Exercises: 11b

Answer

$x=-\frac{5}{6}$ or $3$

Work Step by Step

$\frac{2x+1}{x+1} = \frac{14}{3x-1}$ $(2x+1)(3x-1) = 14(x+1)$ $6x^{2}+x-1 = 14x + 14$ $6x^{2}-13x-15 = 0$ $(6x+5)(x-3) = 0$ $6x+5=0$ $6x=-5$ $x=-\frac{5}{6}$ or $x-3=0$ $x=3$
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