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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