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
![**Objective:** Solve for \( p \) in the equation
\[
\frac{b}{x} - \frac{c}{p} + a = \frac{n}{y}
\]
**Solution Steps:**
1. **Isolate Terms Involving \( p \):**
Start by rearranging the equation to isolate terms involving \( p \):
\[
\frac{b}{x} + a = \frac{n}{y} + \frac{c}{p}
\]
2. **Move Terms:**
Subtract \(\frac{b}{x}\) and \(a\) from both sides:
\[
\frac{c}{p} = \frac{n}{y} - \frac{b}{x} - a
\]
3. **Solve for \( p \):**
Multiply both sides by \( p \) to eliminate the fraction:
\[
c = p \left( \frac{n}{y} - \frac{b}{x} - a \right)
\]
4. **Divide by the coefficient:**
Divide both sides by \(\left( \frac{n}{y} - \frac{b}{x} - a \right)\) to solve for \( p \):
\[
p = \frac{c}{\frac{n}{y} - \frac{b}{x} - a}
\]
This rearranged equation gives the value of \( p \) based on the other variables and constants in the expression.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F20e8c725-54b1-437c-a83f-a21fa32da102%2F80a1cf22-27b1-49d2-9bbf-41613b0dd7cf%2Fl6g4dj_processed.png&w=3840&q=75)
Transcribed Image Text:**Objective:** Solve for \( p \) in the equation
\[
\frac{b}{x} - \frac{c}{p} + a = \frac{n}{y}
\]
**Solution Steps:**
1. **Isolate Terms Involving \( p \):**
Start by rearranging the equation to isolate terms involving \( p \):
\[
\frac{b}{x} + a = \frac{n}{y} + \frac{c}{p}
\]
2. **Move Terms:**
Subtract \(\frac{b}{x}\) and \(a\) from both sides:
\[
\frac{c}{p} = \frac{n}{y} - \frac{b}{x} - a
\]
3. **Solve for \( p \):**
Multiply both sides by \( p \) to eliminate the fraction:
\[
c = p \left( \frac{n}{y} - \frac{b}{x} - a \right)
\]
4. **Divide by the coefficient:**
Divide both sides by \(\left( \frac{n}{y} - \frac{b}{x} - a \right)\) to solve for \( p \):
\[
p = \frac{c}{\frac{n}{y} - \frac{b}{x} - a}
\]
This rearranged equation gives the value of \( p \) based on the other variables and constants in the expression.
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 2 images
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