If the equation x / x-3 = 2 + K / x-3 of X has no solution, find the value of K

x/x-3=2+k/x-3
Well organized
x/（x-3）-k/（x-3）=2
（x-k)/(x-3)=2
So multiply (x-3) on both sides
So you have to
x-k=2（x-3)
Solution
x=6-k
If you want to have no solution, you just have to make ① equal to 0
That is to say, substituting x = 6-k into (x-3) makes
（x-3) =0
Namely
（6-k-3) =0
So there is no solution when k = 3

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