Question #290215

Calculate the one temperature at which Fahrenheit and Celsius thermometers agree with each other

1
Expert's answer
2022-01-24T18:43:55-0500

Formula for Fahrenheit,F=95C+32F = \frac{9}{5 C + 32}


Formula for Centigrade, C=59(F32)C =\frac{5}{9 (F-32)}


Let F = C or C= F


F=C=59(F32)=(5F160)9F= C=\frac{ 5}{9(F-32)}=\frac{ (5F-160)}{9}

9F= 5F - 160


9F - 5F = -160


4F = -160


F = 1604-\frac{160}{4}


F= -40 degree answer in Fahrenheit


C= F= 95C+32\frac{9}{5 C + 32}


C = (9C+160)5\frac{(9C + 160)}{5}


5C = 9C + 160


5C - 9C = 160


-4C= 160


C=1604\frac{160}{-4}


C= -40 degree answer in Centigrade


Conclusion: The temperature wherein degrees centigrade is the same in degrees Fahrenheit is -40 degrees .


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