Write an equation to find the temperature at which the Fahrenheit and Celsius readings are equal. Then find that temperature?

Question

Fahrenheit temperature, F, can be found from a Celcius temperature, c, using the formula F=1.8C+32.

Answer 1

F = (9/5)C + 32

 

Since we want F = C, we can write the equation as:

 

C = (9/5)C + 32

 

-32 = (4/5)C

 

(-32)*(5/4) = C

 

-40 = C = F

 

Check:

F = (9/5)(-40)+32

F = -72 + 32

F = -40

Check!