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Math
Elementary Algebra
Chapter 8
542 - Review Exercises

Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 8: 542 - Review Exercises (page 1025)

Add Rational Expressions with a Common Denominator
In the following exercises, add.
$\frac{3 x}{x - 1} + \frac{2}{x - 1} .$

Short Answer

Expert verified

The answer is $\frac{3 x + 2}{x - 1} .$

Step by step solution

Step 1. Given Information.

Given:

$\frac{3 x}{x - 1} + \frac{2}{x - 1}$ having the same denominator.

Step 2. Solving the expression given.

$A s t h e d e n o m i n a t o r i s s a m e w e c a n d i r e c t l y a d d t h e n u m e r a t o r s : \frac{3 x}{x - 1} + \frac{2}{x - 1} = \frac{3 x + 2}{x - 1} .$

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Most popular questions from this chapter

Pediatricians prescribe $5 m l$ of acetaminophen for every $25 p o u n d s$ of a child's weight. How many milliliters of acetaminophen will the doctor prescribe for Jocelyn, who weighs $45 p o u n d s$ ?

In the following exercises, solve.

$1 + \frac{9}{p} = \frac{- 20}{p^{2}}$

In the following exercises, simplify.

$\frac{7 m + 63}{5 m + 45}$

In the following exercises, simplify.

$\frac{3 c - 9}{5 c - 15}$

In the following exercises, solve.

$\frac{v - 10}{v^{2} - 5 v + 4} = \frac{3}{v - 1} - \frac{6}{v - 4}$

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Add Rational Expressions with a Common Denominator
In the following exercises, add.
$\frac{3 x}{x - 1} + \frac{2}{x - 1} .$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Solving the expression given.

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

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Add Rational Expressions with a Common DenominatorIn the following exercises, add.3xx-1+2x-1.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Solving the expression given.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Geometry

Logic and Functions

Probability and Statistics

Statistics

Decision Maths

Study anywhere. Anytime. Across all devices.

Add Rational Expressions with a Common Denominator
In the following exercises, add.
$\frac{3 x}{x - 1} + \frac{2}{x - 1} .$