High School

The temperature formula for Celsius is [tex]C = \frac{5}{9}(F-32)[/tex]. The variable [tex]C[/tex] represents the temperature in degrees Celsius, and the variable [tex]F[/tex] represents the temperature in degrees Fahrenheit.

Solve the equation for Fahrenheit, [tex]F[/tex].

Answer :

To solve the equation [tex]\( C = \frac{5}{9}(F - 32) \)[/tex] for [tex]\( F \)[/tex], which is the temperature in degrees Fahrenheit, follow these steps:

1. Start with the formula:
[tex]\[
C = \frac{5}{9}(F - 32)
\][/tex]

2. Eliminate the fraction by multiplying both sides of the equation by [tex]\( \frac{9}{5} \)[/tex]:
[tex]\[
\frac{9}{5} \times C = F - 32
\][/tex]

3. Isolate [tex]\( F \)[/tex] by adding 32 to both sides:
[tex]\[
F = \frac{9}{5} \times C + 32
\][/tex]

This rearranged formula, [tex]\( F = \frac{9}{5} \times C + 32 \)[/tex], allows you to convert a temperature from Celsius to Fahrenheit.