At what temperature are Celsius and Fahrenheit equal?

1 Answer
Truong-Son N.
Sep 3, 2016

Set them equal and solve for that temperature.

T_C = 5/9(T_F - 32)

Now, just set T_C = T_F like so:

T_F = 5/9(T_F - 32)

9/5 T_F = T_F - 32

4/5 T_F = -32

color(blue)(T_F = -40^@)

We can prove it worked:

T_C = 5/9(T_F - 32)

-40^@ stackrel(?" ")(=) 5/9(-40^@ - 32^@)

-40^@ stackrel(?" ")(=) 5/9(-72^@)

-40^@ = -40^@

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