## Introductory Algebra for College Students (7th Edition)

Published by Pearson

# Chapter 7 - Section 7.3 - Adding and Subtracting Rational Expressions with the Same Denominator - Concept and Vocabulary Check - Page 506: 6

#### Answer

$\displaystyle \frac{x-5+y}{3}$

#### Work Step by Step

To subtract rational expressions with the same denominator, subtract numerators and place the difference over the common denominator. If possible, factor and simplify the result. --- $\displaystyle \frac{x}{3}-\frac{5-y}{3}=\frac{x-(5-y)}{3}$ ... a common error here is forgetting to place the second numerator in parentheses... $=\displaystyle \frac{x-5+y}{3}$

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