# How do you solve for F in #C=5/9(F-32)#?

##### 1 Answer

May 9, 2016

#### Explanation:

Given:

#C = 5/9(F-32)#

First multiply both sides by

#9/5C = F-32#

Add

#F = 9/5C+32#

These are the formulas to translate between Fahrenheit and Celsius temperatures.

Fahrenheit and Celsius meet at

That is

So alternative formulas for the conversions can be written:

#F = 9/5(C+40)-40#

#C = 5/9(F+40)-40#