Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 7 - Section 7.1 - Rational Expressions and Their Simplification - Exercise Set: 16

Answer

$y=\frac{2}{3}$ or $y=-\frac{1}{2}$

Work Step by Step

A rational expression is undefined when the value of its denominator is zero. Write and solve an expression where the denominator is zero. $6y^2-y-2=0$ A product is zero when either factor is zero. Factor the trinomial. $(3y-2)(2y+1)$ Solve each factor for zero. $3y-2=0$ or $2y+1=0$ Use the addition property of equality to solve both equations for y. $3y-2+2=0+2$ or $2y+1-1=0-1$ Simplify. $3y=2$ or $2y=-1$ Use the multiplication property of equality to solve both equaions for y. $3y\div3=2\div3$ or $2y\div2=-1\div2$ Simplify. $y=\frac{2}{3}$ or $y=-\frac{1}{2}$
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