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 - Page 491: 15


$y=\frac{3}{4}$ or $y=-1$

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. $4y^2+y-3=0$ A product is zero when either factor is zero. Factor the trinomial. $(4y-3)(y+1)$ Solve each factor for zero. $4y-3=0$ or $y+1=0$ Use the addition property of equality to solve both equations for x. $4y-3+3=0+3$ or $y+1-1=0-1$ Simplify. $4y=3$ or $y=-1$ Use the multiplication property of equality to solve for x. $4y\div4=3\div4$ or $y=-1$ Simplify. $y=\frac{3}{4}$ or $y=-1$
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