Question

Solve the formula used to convert from Celsius to Fahrenheit, F=9/5C + 32, for C and derive the other temperature conversion formula. The other temperature conversion formula is _?

(Type an equation using C and F as the variables. Use integers or fractions for any numbers in the expression)

Answer 1

`\displaystyle C=(5\left (F-32 \right ))/(9)`

Explanation:

Two-variable Equations

It's an expression where two variables, say C and F are related. It can be implicitly written (none of the variables is isolated) or explicitly solved for one of the variables.

The well-known formula to convert Celsius to Fahrenheit is

`\displaystyle F=(9)/(5)C + 32`

We can see it's solved for F in terms of C. We need to solve for C, isolating it. First, we subtract 32 on both sides

`\displaystyle F-32=(9)/(5)C + 32-32`

`\displaystyle F-32=(9)/(5)C`

Then, we multiply by 5 and divide by 9

`\displaystyle (5\left (F-32\right ))/(9)=C`

This is the required formula

`\displaystyle C=(5\left (F-32\right ))/(9)`