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

May 9, 2016

$F = \frac{9}{5} C + 32$

#### Explanation:

Given:

$C = \frac{5}{9} \left(F - 32\right)$

First multiply both sides by $\frac{9}{5}$ to get:

$\frac{9}{5} C = F - 32$

Add $32$ to both sides and transpose to get:

$F = \frac{9}{5} C + 32$

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

Fahrenheit and Celsius meet at $- 40$ degrees.

That is $- {40}^{\circ} F = - {40}^{\circ} C$

So alternative formulas for the conversions can be written:

$F = \frac{9}{5} \left(C + 40\right) - 40$

$C = \frac{5}{9} \left(F + 40\right) - 40$