Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
Perform the operation
![Certainly! Below is a transcription of the text as if it were to appear on an educational website.
---
### Simplifying Algebraic Fractions
In this exercise, we will practice simplifying algebraic fractions. Pay close attention to the operations and the structure of the algebraic expressions.
#### Question 2:
**a.**
\[
\frac{5x + 9y}{5x - 2y} + \frac{7y - 12x}{5x - 2y}
\]
In this part of the problem, you need to add two fractions with like denominators. Combine the numerators directly since the denominators are the same.
**b.**
\[
\frac{18 - 7x}{5 - 6x} - \frac{3 + 11x}{-6x + 5}
\]
Here, we have two fractions with variable terms in both numerators and denominators. Notice that the denominators seem different at first glance, but they are actually the same when simplified \((5 - 6x = -6x + 5)\). Simplify and combine the fractions accordingly.
---
For more detailed explanations and step-by-step solutions, please refer to our algebraic fractions section.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faa38d3af-d2a1-4c36-a58b-a982b5534c39%2Fad2d3219-8395-4a0e-b5ac-a79e22c039f7%2F522fp0i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Certainly! Below is a transcription of the text as if it were to appear on an educational website.
---
### Simplifying Algebraic Fractions
In this exercise, we will practice simplifying algebraic fractions. Pay close attention to the operations and the structure of the algebraic expressions.
#### Question 2:
**a.**
\[
\frac{5x + 9y}{5x - 2y} + \frac{7y - 12x}{5x - 2y}
\]
In this part of the problem, you need to add two fractions with like denominators. Combine the numerators directly since the denominators are the same.
**b.**
\[
\frac{18 - 7x}{5 - 6x} - \frac{3 + 11x}{-6x + 5}
\]
Here, we have two fractions with variable terms in both numerators and denominators. Notice that the denominators seem different at first glance, but they are actually the same when simplified \((5 - 6x = -6x + 5)\). Simplify and combine the fractions accordingly.
---
For more detailed explanations and step-by-step solutions, please refer to our algebraic fractions section.
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