Math Problem Statement

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

Solution

To solve for CC in the equation F=95C+32F = \frac{9}{5}C + 32, follow these steps:

  1. Start with the original equation: F=95C+32F = \frac{9}{5}C + 32

  2. Subtract 32 from both sides to isolate the term involving CC: F32=95CF - 32 = \frac{9}{5}C

  3. Multiply both sides by 59\frac{5}{9} to solve for CC: C=59(F32)C = \frac{5}{9}(F - 32)

Thus, the solution is: C=59(F32)C = \frac{5}{9}(F - 32)

This is the formula to convert Fahrenheit FF to Celsius CC.

Would you like further details or have any questions?

Here are 5 related questions:

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

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

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Temperature Conversion

Formulas

F = (9/5)C + 32
C = (5/9)(F - 32)

Theorems

Linear equation solving

Suitable Grade Level

Grades 6-8