Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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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
![### Algebra 2: Solving Multi-Variable Equations
**Topic**: B.6 Solve Multi-Variable Equations
**Instructions**: Solve for \( v \) in terms of \( r \), \( s \), \( t \), and \( u \).
The given equation is:
\[ ru = tsv \]
You need to isolate \( v \) on one side to express it in terms of the other variables.
To solve for \( v \):
1. Start with the equation:
\[ ru = tsv \]
2. Divide both sides of the equation by \( ts \):
\[ \frac{ru}{ts} = v \]
Thus, the solution is:
\[ v = \frac{ru}{ts} \]
**Input Prompt**:
\[ v = \text{_________} \]
Click the "Submit" button after entering your solution.
**Visuals**:
- There is a text box provided for entering the value of \( v \).
- A "Submit" button is provided to submit your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb8ebe9a1-e09c-4f1f-b608-1f5fdd331937%2Ffa2d8e01-484c-44f0-b889-6652def07db0%2Fl155n3e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Algebra 2: Solving Multi-Variable Equations
**Topic**: B.6 Solve Multi-Variable Equations
**Instructions**: Solve for \( v \) in terms of \( r \), \( s \), \( t \), and \( u \).
The given equation is:
\[ ru = tsv \]
You need to isolate \( v \) on one side to express it in terms of the other variables.
To solve for \( v \):
1. Start with the equation:
\[ ru = tsv \]
2. Divide both sides of the equation by \( ts \):
\[ \frac{ru}{ts} = v \]
Thus, the solution is:
\[ v = \frac{ru}{ts} \]
**Input Prompt**:
\[ v = \text{_________} \]
Click the "Submit" button after entering your solution.
**Visuals**:
- There is a text box provided for entering the value of \( v \).
- A "Submit" button is provided to submit your answer.
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