## College Algebra (6th Edition)

Published by Pearson

# Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.6: 33

2

#### Work Step by Step

We are given the expression $\frac{4x+1}{6x+5}+\frac{8x+9}{6x+5}$. Since both terms have a common denominator, we can add these fractions together. $\frac{4x+1}{6x+5}+\frac{8x+9}{6x+5}=\frac{4x+1+8x+9}{6x+5}=\frac{(4x+8x)+(1+9)}{6x+5}=\frac{12x+10}{6x+5}=\frac{2}{1}=2$

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