Solve the following equation for C: F = 9/5 C + 32

Answer 1

The equation tells you what the Fahrenheit temperature is if given the Celsius temperature

F = (9/5)C + 32

Celsius scale goes from 0 at freezing to 100 at boiling water

Fahrenheit goes from 32 at freezing to 212 at boiling water

Multiply through by 5 to eliminate the fraction and get

5F = 9C + 160

9C = 5F - 160 divide by 9 to isolate C

C = (5/9)F - 160/9 = (5/9)F - 17 7/9

check the answer with F=32 and see if you get C =0. It works

check it again with F=212 to see if you get C = 100 It works again.

Answer 2

F = 9/5 C + 32

F - 32 = 9/5 C + 32 - 32 (subtract 32 from both sides)

F - 32 = 95 C + 0 (simplify)

F - 32 = 95 C (additive identity)

5/9 * (F - 32) = 5/9 * 9/5 * C (multiply both sides by 5/9)

5/9 * (F - 32) = 1 * C (simplify)

5/9 * (F - 32) = C (multiplicative identity)