I'm getting so confused. Please help me to learn how to solve this problem step by step?

Question

K=5/9(f-32)+273.15

I know K is 73.15

Thank you!

Answer 1

If K is 73.15 then plug that into the equation for K like this:

73.15 = 5/9(f - 32) + 273.15

Then subtract 273.15 from both sides

73.15 - 273.15 = 5/9(f - 32) + 273.15 - 273.15

-200 = 5/9(f - 32)

Now multiply both sides by the reciprocal of 5/9, which is 9/5 like this:

(9/5)(-200) = (9/5)(5/9)(f - 32)

-1800/5 = 45/45(f - 32) and reduce the fractions:

-360 = 1(f - 32) or

-360 = f - 32

Now add 32 to both sides like this:

32 + -360 = f - 32 + 32 and simplify:

-328 = f