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8.(iv) 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

 (iv) 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?

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If the temperature is 0°C,

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

                         F = \left(\frac{9}{5} \right )(0) + 32

                      \Rightarrow F = 32

if the temperature is 0°F,

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

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

                        \Rightarrow \left(\frac{9}{5} \right )C=- 32

                        \Rightarrow C=- 17.8

Thus, if the temperature is 0°C ,then temperature in fahrenheit is 32 and  if the temperature is 0°F ,then temperature in celsius is -17.8 .           

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