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At what temperature are Celsius and Fahrenheit the same?

The formulas for converting between degree Celsius and degree Fahrenheit are:

F = (C * 9/5) + 32
C = (F - 32) * 5/9

To find the temperature when both are equal, we use an old algebra trick and just set F = C and solve one of the equations.

C = (C * 9/5) + 32
C - (C * 9/5) = 32
-4/5 * C = 32
C = -32 * 5/4
C = -40

F = (F * 9/5) + 32
F - (F * 9/5) = 32
-4/5 * F = 32
F = -32 * 5/4
F = -40

So the temperature when both the Celsius and Fahrenheit scales are the same is -40 degrees.

 
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