F=(9/5)C+32. Is there a temperature which is numerically the same in both Fahrenheit and celcius? If yes,find it.

Mason Cherry

Mason Cherry

Answered question

2023-01-11

F=(9/5)C+32
Is there a temperature which is numerically the same in both Fahrenheit and celcius? If yes,find it.
Explain the solution with reason.

Answer & Explanation

Salys9g1

Salys9g1

Beginner2023-01-12Added 5 answers

Step 1
The formula for converting Fahrenheit to Celsius is as follows:
F = 9/5*C + 32
To determine the temperature at which both scales are equal, we can use another equation and combine it with the previous one. The equation is simply F = C. Plug in for F or C and solve. Both cases are shown below:
C = 9/5*C + 32
C - 9/5*C = 32
-4/5*C = 32
C = (-32*5)/4 = -40
F = 9/5*F + 32
F - 9/5*F = 32
-4/5*F = 32
F = (-32*5)/4 = -40
Step 2
Hence, at the cold temperature of negative 40, this temperature is the same on both the Fahrenheit and Celsius temperature scales.

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