Question

Given F = 9/5C + 32, the conversion formula for Fahrenheit to Celsius, solve for C

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

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

C) C = 9/5 · F/32

D) C = 5/9 · F/32

Answer 1

Answer: A)
`C=(5)/(9)(F-32)`

Explanation:

Given :
`F=(9)/(5)C+32` the conversion formula for Fahrenheit to Celsius.

To solve the formula for C , we need to first subtract 32 from both sides , we get

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

Simplify , we get

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

Now, Multiply both sides with the reciprocal of
`(9)/(5)` i.e.
`(5)/(9)` , we get

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

Simplify ,

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

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