Calculate the temperature at which °c=°f

The relation between °C and °F is

°F=

5

9

(°C)+32

when °F=°C

∴°C=

5

9

°C+32

∴°C−

5

9

°C=32

∴−

5

4

°C=32

∴°C=−40°C

∴T=−40℃

∴ At −40℃, both the celcius and Fahrenheit scales show the same reading.

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