Question 1121330
write in slope-intercept form
the first is ky=-9x+3 or y=-(9/k)x+(3/k)
the second is y=-kx+1
The slopes are (-9/k) and -k.  
For no or infinite solutions, the slopes are equal so set -9/k=-k
-k^2=-9
k=3 or -3
y=-3k+1
y=-3k+1
So for k=3, there are infinite solutions

try k=-3
y=3x-1
y=3x+1, there are no solutions (parallel lines)
For all other k, there is one solution.