Question

what is the solution of k+4/2=k+9/3

Answer 1

no solution
empty set {}

Answer 2

If you mean: (k+4)/2=(k+9)/3, then the solution is:

Multiply both sides by 6 in order to get rid of the denominator:
3(k+4)=2(k+9)
3k+12=2k+18
k=6

However, if you mean: k+(4/2)=k+(9/3), then there is no solution.

Answer 3

hmm i didn't think of that good call
you're probably right