Data Sufficiency

I thought each statement is sufficient but that is not the asnwer.. Can someone help

The point will lie on the plane if 3r + 2 - s = 0

1) If 1 is true then it is also possible that 4r+9-s = zero and hence the point could be on other line.

Similarly for 2) 4r-6-s cane be zero...

But if you combine both then only 3r + 2 - s can be zero ..
because both 4r + 9 -S and ( 4r -6 - r) cannot be zero simultaneously

therefore C