kx+3y-(k-3)=0 ....(i)
12x+10y-k=0.....(ii)
For infinity many solutions
k/12 = 3/10 = (k-3)/k
k = 36/10
But for this value of k second equality 3/10 = (k-3)/k is not satisfied. So it doesn't have infinity solutions for any value of k.
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