Reverse the roles of the variables by solving for the indicated variable.
Solve for C:   
F = (9/5)C + 32

To solve for \( C \) in the equation \( F = \frac{9}{5}C + 32 \), follow these steps:

1. **Start with the original equation:**
   \[
   F = \frac{9}{5}C + 32
   \]

2. **Subtract 32 from both sides to isolate the term involving \( C \):**
   \[
   F - 32 = \frac{9}{5}C
   \]

3. **Multiply both sides by \( \frac{5}{9} \) to solve for \( C \):**
   \[
   C = \frac{5}{9}(F - 32)
   \]

Thus, the solution is:
\[
C = \frac{5}{9}(F - 32)
\]

This is the formula to convert Fahrenheit \( F \) to Celsius \( C \).

Would you like further details or have any questions?

Here are 5 related questions:
1. What is the Celsius temperature when \( F = 212 \)?
2. How do you convert Celsius to Fahrenheit using the reverse formula?
3. How would the formula change if you were solving for \( F \)?
4. Can this formula be used in scientific contexts like thermodynamics?
5. What happens when \( F = 32 \), and how does that relate to freezing?

**Tip:** Always check units when converting between different temperature scales to avoid confusion!

Learn how to solve for C in the formula F = (9/5)C + 32, used to convert Fahrenheit to Celsius. This step-by-step guide explains key algebraic concepts and provides the formula for temperature conversion. Suitable for Grades 6-8 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation