At what temperature is the Fahrenheit value numerically equal to the Celsius value?

1 Answer
Truong-Son N.
Sep 27, 2017

The Fahrenheit temperature is given by:

#""^@ "F" = 9/5""^@ "C" + 32#

Now we assume that they are numerically equal to find the temperature where that is true... Let #t = ""^@ "F" = ""^@ "C"#. Then:

#t = 9/5t + 32#

#(1 - 9/5)t = 32#

#t = 32/(1 - 9/5)#

#= 32/(-4/5)#

#= -40#

And thus, #color(blue)ul(-40^@ "C" = -40^@ "F")#.

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