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
Concept explainers
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question
![### Problem Solving: Isolating Variables in Equations
To practice isolating variables in equations, consider the following problem:
#### Problem Statement:
**Solve for \( n \).**
\[ d = 4m + 9n \]
**Answer: \( n = \) [ ]**
### Step-by-Step Solution:
1. **Start with the given equation:**
\[ d = 4m + 9n \]
2. **Isolate the term containing \( n \) by subtracting \( 4m \) from both sides:**
\[ d - 4m = 9n \]
3. **Solve for \( n \) by dividing both sides of the equation by 9:**
\[ n = \frac{d - 4m}{9} \]
Hence, the value of \( n \) in terms of \( d \) and \( m \) is:
\[ n = \frac{d - 4m}{9} \]
This transcription includes the logical steps required to solve for the variable \( n \) and explains each part of the process.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F61c70154-6dcc-4ad1-b23f-82f068f0fd01%2Fb39b7d37-a651-47a9-bf0e-e049579ca121%2Ffsqde19.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Solving: Isolating Variables in Equations
To practice isolating variables in equations, consider the following problem:
#### Problem Statement:
**Solve for \( n \).**
\[ d = 4m + 9n \]
**Answer: \( n = \) [ ]**
### Step-by-Step Solution:
1. **Start with the given equation:**
\[ d = 4m + 9n \]
2. **Isolate the term containing \( n \) by subtracting \( 4m \) from both sides:**
\[ d - 4m = 9n \]
3. **Solve for \( n \) by dividing both sides of the equation by 9:**
\[ n = \frac{d - 4m}{9} \]
Hence, the value of \( n \) in terms of \( d \) and \( m \) is:
\[ n = \frac{d - 4m}{9} \]
This transcription includes the logical steps required to solve for the variable \( n \) and explains each part of the process.
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 with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.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