Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Review: 43

Answer

This equation has no solution

Work Step by Step

$\dfrac{y}{2y+2}+\dfrac{2y-16}{4y+4}=\dfrac{y-3}{y+1}$ Factor the first and second rational expressions completely: $\dfrac{y}{2(y+1)}+\dfrac{2(y-8)}{4(y+1)}=\dfrac{y-3}{y+1}$ Multiply the whole equation by $(2)(4)(y+1)$: $(2)(4)(y+1)\Big[\dfrac{y}{2(y+1)}+\dfrac{2(y-8)}{4(y+1)}=\dfrac{y-3}{y+1}\Big]$ $4y+2(y-8)(2)=(y-3)(2)(4)$ $4y+4y-32=8y-24$ Take all terms to the left side of the equation: $4y+4y-32-8y+24=0$ $-8\ne0$ This equation has no solution
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