8.(v) In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius:

                    F = \left(\frac{9}{5} \right )C + 32

 (v) Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it.

Answers (1)

F = \left(\frac{9}{5} \right )C + 32

Let temperature be x in both Fahrenheit and celsius.

    x= \left(\frac{9}{5} \right )x + 32

    \Rightarrow 5x= 9x + 160

    \Rightarrow 5x-9x = 160

    \Rightarrow -4x = 160

    \Rightarrow x = -40 \degree

Thus, 40 is the temperature which is numerically the same in both Fahrenheit and celsius.

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