At what temperature are Celsius and Fahrenheit equal?
1 Answer
Sep 3, 2016
Set them equal and solve for that temperature.
#T_C = 5/9(T_F - 32)#
Now, just set
#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^@#
