## Algebra: A Combined Approach (4th Edition)

Published by Pearson

# Chapter 7 - Section 7.5 - Solving Equations Containing Rational Expressions - Exercise Set: 15

y = 5

#### Work Step by Step

$\frac{4y}{y-4}$+5=$\frac{5y}{y-4}$ (y-4)$\frac{4y}{y-4}$+5(y-4)=$\frac{5y}{y-4}$(y-4) 4y+5y-20=5y 9y-20=5y 9y-5y=20 4y=20 y=5 Check the solution 5 $\frac{4y}{y-4}$+5=$\frac{5y}{y-4}$ $\frac{4*5}{5-4}$+5=$\frac{5*5}{5-4}$ $\frac{20}{1}$+5=$\frac{25}{1}$ 20+5=25 25=25

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