Question

How do you solve the equation F = 9/5(K - 273.15) + 32 when you're solving for K?

Answer 1

`\displaystyle\\Answer:\ K=(5)/(9)(F-32^0)+273.15^0`

Explanation:

`\displaystyle\\F=(9)/(5) (K-273.15)+32\\F-32=(9)/(5) (K-273.15)+32-32\\F-32=(9)/(5) (k-273.15)\\Multiply\ both\ parts\ of\ the\ equation\ by\ (5)/(9) \\((5)/(9))(F-32)=(9)/(5) (K-273.15)((5)/(9) )\\\\(5)/(9) (F-32)=K-273.15\\\\(5)/(9) (F-32)+273.15=K-273.15+273.15\\\\(5)/(9) (F-32)+273.15=K`