Answer :
Sure! Let's work through the steps to convert the formula from Celsius to Fahrenheit into a formula that converts Fahrenheit to Celsius.
The original formula given is:
[tex]\[ F = \frac{9}{5}C + 32 \][/tex]
Our goal is to solve for [tex]\( C \)[/tex], which will give us the formula to convert Fahrenheit to Celsius.
1. Subtract 32 from both sides: This step helps to isolate the term involving [tex]\( C \)[/tex] on one side of the equation.
[tex]\[
F - 32 = \frac{9}{5}C
\][/tex]
2. Multiply both sides by the reciprocal of [tex]\(\frac{9}{5}\)[/tex], which is [tex]\(\frac{5}{9}\)[/tex], to solve for [tex]\( C \)[/tex]:
[tex]\[
C = \frac{5}{9}(F - 32)
\][/tex]
And there you have it! The formula to convert Fahrenheit to Celsius is:
[tex]\[ C = \frac{5}{9}(F - 32) \][/tex]
This formula allows you to find the temperature in degrees Celsius when you start with a temperature in degrees Fahrenheit.
The original formula given is:
[tex]\[ F = \frac{9}{5}C + 32 \][/tex]
Our goal is to solve for [tex]\( C \)[/tex], which will give us the formula to convert Fahrenheit to Celsius.
1. Subtract 32 from both sides: This step helps to isolate the term involving [tex]\( C \)[/tex] on one side of the equation.
[tex]\[
F - 32 = \frac{9}{5}C
\][/tex]
2. Multiply both sides by the reciprocal of [tex]\(\frac{9}{5}\)[/tex], which is [tex]\(\frac{5}{9}\)[/tex], to solve for [tex]\( C \)[/tex]:
[tex]\[
C = \frac{5}{9}(F - 32)
\][/tex]
And there you have it! The formula to convert Fahrenheit to Celsius is:
[tex]\[ C = \frac{5}{9}(F - 32) \][/tex]
This formula allows you to find the temperature in degrees Celsius when you start with a temperature in degrees Fahrenheit.
