Question

In countries like USA and Canada, the 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(\raisebox{1ex}{$9$}\!\left/ \!\raisebox{-1ex}{$5$}\right.\right)C+32$. If the temperature is $95°F$, what is the temperature in Celsius?

Answer 1

Find the temperature.

When the temperature is $95°F$, then the temperature in Celsius is;

$$\begin{gathered} \begin{array}{rcl}& \Rightarrow & F=\left(\raisebox{1ex}{$9$}\!\left/ \!\raisebox{-1ex}{$5$}\right.\right)C+32\\ & \Rightarrow & 95=\left(\raisebox{1ex}{$9$}\!\left/ \!\raisebox{-1ex}{$5$}\right.\right)C+32\end{array} \\ \begin{array}{rcl}& \Rightarrow & 95-32=\left(\raisebox{1ex}{$9$}\!\left/ \!\raisebox{-1ex}{$5$}\right.\right)C\\ & \Rightarrow & 63=\left(\raisebox{1ex}{$9$}\!\left/ \!\raisebox{-1ex}{$5$}\right.\right)C\end{array} \\ \Rightarrow C=35° \end{gathered}$$

Hence, the temperature in celsius is $35°C$.