The given equation is:

\[
F = \frac{9}{5}c + 32
\]

This is the formula for converting a temperature from Celsius (\(c\)) to Fahrenheit (\(F\)). You are looking to solve for \(c\). To do this, we'll rearrange the equation to isolate \(c\).

### Step-by-Step Solution:

1. Start with the given equation:

   \[
   F = \frac{9}{5}c + 32
   \]

2. Subtract 32 from both sides:

   \[
   F - 32 = \frac{9}{5}c
   \]

3. Multiply both sides by \(\frac{5}{9}\) to isolate \(c\):

   \[
   c = \frac{5}{9} (F - 32)
   \]

### Final Equation:

\[
c = \frac{5}{9} (F - 32)
\]

This equation allows you to convert a temperature from Fahrenheit back to Celsius.

Would you like further details or have any questions?

### Related Questions:

1. How do you convert Celsius to Kelvin?
2. What is the difference between Celsius and Fahrenheit scales?
3. Can you solve for \(F\) given a specific value of \(c\)?
4. How do you graph the relationship between \(F\) and \(c\)?
5. How does the conversion factor \(\frac{9}{5}\) relate to the scales?

**Tip:** Remember that Celsius and Fahrenheit scales intersect at \(-40\), meaning \(-40^\circ C = -40^\circ F\).

Learn how to convert Celsius to Fahrenheit using the formula F = (9/5)c + 32. This detailed guide walks through the steps to isolate c and convert temperatures from Fahrenheit back to Celsius. Ideal for students in Grades 6-8 studying temperature conversions and linear equations.

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