## Algebra 1

Published by Prentice Hall

# Chapter 11 - Rational Expressions and Functions - 11-5 Solving Rational Equations - Practice and Problem-Solving Exercises - Page 683: 11

#### Answer

$y=6 ,-1$

#### Work Step by Step

Given: $y^2-6=5y$ Here, LCD: $y$ $\frac{y^2}{y}-\frac{6}{y}=\frac{(5y)}{y}$ $\implies y=5+\frac{6}{y}$ $\implies y^2=5y+6$ or, $y^2-5y-6=0$ $(y+1)(y-6)=0$ Solutions are: $y=6 ,-1$

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