Q

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 = (9 / 5) C + 32 (v) Is there a temperature

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.

Views

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

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.

Exams
Articles
Questions