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,...
Related questions
Question
What is 9m-6n-3(m+6n
![The image presents a mathematical equation for solving:
\[ 9m - 6n = 3(m + 6n) \]
### Explanation:
This linear equation involves two variables, \( m \) and \( n \). Below are the steps to solve the equation:
1. **Distribute** the 3 on the right side of the equation:
\[ 3(m + 6n) = 3m + 18n \]
2. **Substitute** the expression back into the equation:
\[ 9m - 6n = 3m + 18n \]
3. **Rearrange** terms to isolate variables on each side:
\[
9m - 3m = 18n + 6n
\]
4. **Simplify** the equation:
\[
6m = 24n
\]
5. **Divide** by 6 to solve for \( m \) in terms of \( n \):
\[
m = 4n
\]
### Conclusion:
The relationship between \( m \) and \( n \) can be expressed as \( m = 4n \). This provides a simple linear relationship describing how changes in \( n \) affect \( m \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35e4f2ef-fb4e-49fa-8609-2827fbd3e3fa%2Fca85f6b1-00a1-41de-ad6c-70309b3d2a1b%2F0ql177o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image presents a mathematical equation for solving:
\[ 9m - 6n = 3(m + 6n) \]
### Explanation:
This linear equation involves two variables, \( m \) and \( n \). Below are the steps to solve the equation:
1. **Distribute** the 3 on the right side of the equation:
\[ 3(m + 6n) = 3m + 18n \]
2. **Substitute** the expression back into the equation:
\[ 9m - 6n = 3m + 18n \]
3. **Rearrange** terms to isolate variables on each side:
\[
9m - 3m = 18n + 6n
\]
4. **Simplify** the equation:
\[
6m = 24n
\]
5. **Divide** by 6 to solve for \( m \) in terms of \( n \):
\[
m = 4n
\]
### Conclusion:
The relationship between \( m \) and \( n \) can be expressed as \( m = 4n \). This provides a simple linear relationship describing how changes in \( n \) affect \( m \).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education