The linear equation that converts Fahrenheit (F) to Celsius (C) is given by the relation,

(i) if the temperature is 86°F, what is the temperature in Celsius ?


(ii) If the temperature is 35°C, what is the temperature in Fahrenheit ?


(iii) If the temperature is 0°C, what is the temperature in Fahrenheit and if the temperature is 0°F, what is the temperature in Celsius?


(iv) What is the numerical value of the temperature which is same in both the scale ?


(i)




°C


(ii)



350×9 = 5f – 160


5f = 3150 + 160



f = 662°F


(iii) If the temperature is 0°C, then the temperature in Fahrenheit will be-




5f = 160


f = 32°F


And if the temperature is 0°F, then the temperature in Celsius will be-





C = – 17.778


(iv) Since, both are equal, let C = f



9f = 5f – 160


4f = – 160


f = – 40°F


the numerical value of the temperature which is same in both the scale is – 40


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