We are given: Degrees Celsius and degrees Fahrenheit are related by formula
[tex]C=\frac{5}{9} (F-32)[/tex]
To find : Solve formula for F in terms of C.
Solution: We have , [tex]C=\frac{5}{9} (F-32)[/tex]
First we need to get rid 9 from right denominator.
In order to get rid 9 from right denominator, we need to multiply equation both sides by 9.
[tex]9*C=9*\frac{5}{9} (F-32)[/tex]
9C = 5 (F-32).
Distributing 5 on right side over (F-32), we get 5*F - 5*32 = 5F - 160.
9C = 5F - 160.
Adding 160 on both sides,
9C+160 = 5F - 160+160.
9C+160 =5F
Dividing both sides by 5, we get
(9C+160)/5 =5F/5.
[tex]\frac{9C+160}{5}=F[/tex]
Splitting fraction 1/5, we get
[tex]F= \frac{1}{5} (9C+160)[/tex].
