Question

C = 5/9(F-32)

Could someone help me with figuring this out?
Josh is talking on the phone to his friend Greg who lives in Europe. Greg is used to describing temperatures in °C, while Josh is used to describing temperatures in °F. Greg can use the formula above to quickly convert the temperatures Josh describes to °C.
How can you rewrite the formula so that Josh can quickly convert the temperatures that Greg describes to °F? Justify your solution method.

Answer 1

F = 9/5C +32

Explanation:

You want to rearrange C = 5/9(F-32) to make F the subject.

Solution

You can solve for F the same way you solve any similar 2-step equation:

C = 5/9(F -32) . . . . . . given

9/5C = F -32 . . . . . . . multiply by 9/5 (multiplication property of equality)

9/5C +32 = F . . . . . . add 32 (addition property of equality)

The equation Josh can use to convert to °F is ...

F = 9/5C +32