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.
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.