Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson

Chapter 6 - Rational Expressions and Equations - 6.3 Addition, Subtraction, and Least Common Denominators - 6.3 Exercise Set - Page 393: 18

Answer

$\dfrac{x+13}{x-1}$

Work Step by Step

When subtracting two fractions with common denominators, we subtract the numerators and copy the denominator. Therefore, the given expression, $\dfrac{3x+4}{x-1}-\dfrac{2x-9}{x-1} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{3x+4-(2x-9)}{x-1} \\\\= \dfrac{3x+4-2x+9}{x-1} \\\\= \dfrac{x+13}{x-1} .\end{array}

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