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
![**Equation to Solve for a Variable**
**Problem Statement:**
Solve for \( n \).
**Equation:**
\[ z = \frac{4c}{n} \]
**Solution Steps:**
To solve for \( n \), rearrange the equation to isolate \( n \) on one side. Begin by multiplying both sides by \( n \) to eliminate the fraction:
\[ zn = 4c \]
Next, divide both sides by \( z \) to solve for \( n \):
\[ n = \frac{4c}{z} \]
**Explanation:**
This mathematical equation represents a relationship where \( z \) is equal to four times some variable \( c \) divided by another variable \( n \). Solving for \( n \) involves isolating it through algebraic manipulation, resulting in the expression \( n = \frac{4c}{z} \).
This type of problem is a common exercise in algebra, focusing on rearranging and solving equations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3be32d0d-85ce-4c7b-8211-afa0de24b46c%2Fa4974fd2-14c7-49a9-8775-c2f4d3a95f56%2F8p9zreg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Equation to Solve for a Variable**
**Problem Statement:**
Solve for \( n \).
**Equation:**
\[ z = \frac{4c}{n} \]
**Solution Steps:**
To solve for \( n \), rearrange the equation to isolate \( n \) on one side. Begin by multiplying both sides by \( n \) to eliminate the fraction:
\[ zn = 4c \]
Next, divide both sides by \( z \) to solve for \( n \):
\[ n = \frac{4c}{z} \]
**Explanation:**
This mathematical equation represents a relationship where \( z \) is equal to four times some variable \( c \) divided by another variable \( n \). Solving for \( n \) involves isolating it through algebraic manipulation, resulting in the expression \( n = \frac{4c}{z} \).
This type of problem is a common exercise in algebra, focusing on rearranging and solving equations.
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