Question

The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:

F = 9 over 5C + 32

Which of the following formulas correctly solves for C?

Answer 1

The solution for the provided equations is
`C=(5)/(9)(F-32)`.

Explanation:

Consider the provided equation.

`F = (9)/(5)C + 32`

Now solve the above equation for C.

Subtract 32 from both sides.

`F-32 = (9)/(5)C + 32-32`

`F-32 = (9)/(5)C`

Multiply both the sides by 5/9.

`(5)/(9)(F-32) =(5)/(9)* (9)/(5)C`

`C=(5)/(9)(F-32)`

Hence, the solution for the provided equations is
`C=(5)/(9)(F-32)`.