Answer:
[tex]\displaystyle C=\frac{5\left (F-32 \right )}{9}[/tex]
Step-by-step explanation:
Two-variable Equations
It's an expression where two variables, say C and F are related. It can be implicitly written (none of the variables is isolated) or explicitly solved for one of the variables.
The well-known formula to convert Celsius to Fahrenheit is
[tex]\displaystyle F=\frac{9}{5}C + 32[/tex]
We can see it's solved for F in terms of C. We need to solve for C, isolating it. First, we subtract 32 on both sides
[tex]\displaystyle F-32=\frac{9}{5}C + 32-32[/tex]
[tex]\displaystyle F-32=\frac{9}{5}C[/tex]
Then, we multiply by 5 and divide by 9
[tex]\displaystyle \frac{5\left (F-32\right )}{9}=C[/tex]
This is the required formula
[tex]\displaystyle C=\frac{5\left (F-32\right )}{9}[/tex]
