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?
C = 5F − 32 over 9
C = 5 F over 9 − 32
C = 9 over 5(F − 32)
C = 5 over 9(F − 32)

Answer 1

F = 9/5 (C + 32) -- multiply both sides by 5/9
5/9 F = C + 32 -- subtract 32
5/9 F - 32 = C -- rearrange
C = 5/9 (F - 32)

Answer 2

Let me explain a little bit...
if you multiply both sides by the reciprocal, which is 5/9, then the term on the right side will cancel out 5/9F = 9/5 * 5/9 (C + 32)...which equals 5/9F = (C + 32)....understand ?

Answer 3

and then you just subtract 32 from both sides to find C