Question

The linear equations that converts Fahrenheit ${(}^{o}F)$ to Celsius ${(}^{o}C)$ is given by the relation:
${}^{o}C=\frac{5^{o}F-160}{9}$
If the temperature is ${30}^{o}C$, what is the temperature in Fahrenheit?

Answer 1

We have,

${}^{o}C=\frac{5^{o}F-160}{9}$

Since, the temperature is ${30}^{o}C$

So,

$\Rightarrow {30}^o=\frac{5^{o}F-160}{9}$

$\Rightarrow {270}^o=5^{o}F-160$

$\Rightarrow 270+160=5^{o}F$

$\Rightarrow 330=5^{o}F$

$\Rightarrow F=\frac{330}{5}$

$\Rightarrow F={66}^o$

Hence, the temperature is Fahrenheit is ${66}^o.$

Hence, this is the answer.