Solve the following formula for the indicated variable.

C=59(F−32); solve for F

The given equation is:

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

We need to solve for \(F\).

### Step-by-Step Solution:

1. **Multiply both sides by 9 to eliminate the fraction:**

\[
9C = 5(F - 32)
\]

2. **Divide both sides by 5:**

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

3. **Add 32 to both sides to isolate \(F\):**

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

Thus, the formula for \(F\) in terms of \(C\) is:

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

Would you like further details or have any other questions?

Here are 5 related questions:
1. How do we convert Fahrenheit to Celsius using this equation?
2. What is the physical meaning of the constant 32 in the formula?
3. How does the fraction \(\frac{5}{9}\) arise in temperature conversion?
4. Can you solve this formula for \(C\) when given a specific value of \(F\)?
5. How does this formula apply to real-world temperature conversions?

**Tip:** Always check your steps by substituting values back into the equation to verify the solution.

Solve the following formula for the indicated variable: C=59(F−32); solve for F

Learn how to solve the temperature conversion formula C = (5/9)(F - 32) for F with a detailed step-by-step solution. This problem covers key algebraic concepts, including linear equations and temperature conversion, suitable for students in Grades 8-10.

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