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METEOROLOGIST JEFF HABY. F = 9/5*C + 32. To find the temperature both scales are equal we can use another equation and combine it with this previous equation. The equation is simply F = C. Plug in for F or C and solve. C = 9/5*C + 32. -4/5*C = 32. F = 9/5*F + 32. -4/5*F = 32. Thus, at the cold temperature of negative 40, this temperature is the same on both the Fahrenheit and Celsius temperature scales.
The formula for converting from degrees Fahrenheit to degrees Celsius is based on the difference of 180 degrees between the freezing and boiling points of water in Fahrenheit. The freezing point of water is 32 degrees in Fahrenheit and zero degrees in Celsius. Celsius is a unit from the metric system of measurement used by most of the world and in most scientific contexts. Fahrenheit is part of the imperial system of measurement and is used in the United States.