To convert the given formula [tex]\( F = \frac{9}{5}C + 32 \)[/tex] from Fahrenheit to Celsius, we need to isolate [tex]\( C \)[/tex] on one side. Let's go through this step by step:
1. Start with the given formula:
[tex]\[
F = \frac{9}{5}C + 32
\][/tex]
2. Subtract 32 from both sides to keep terms involving [tex]\( C \)[/tex] on one side:
[tex]\[
F - 32 = \frac{9}{5}C
\][/tex]
3. Multiply both sides by the reciprocal of [tex]\(\frac{9}{5}\)[/tex] to isolate [tex]\( C \)[/tex]. The reciprocal of [tex]\(\frac{9}{5}\)[/tex] is [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
C = \frac{5}{9} (F - 32)
\][/tex]
Therefore, the formula to convert Fahrenheit to Celsius is:
[tex]\[
C = \frac{5}{9} (F - 32)
\][/tex]
This is the correct conversion formula where [tex]\( C \)[/tex] (Celsius) is expressed in terms of [tex]\( F \)[/tex] (Fahrenheit).
