Where should the fulcrum be placed so that a 5 pound weight and a 10 pound weight will balance when placed at opposite ends of a lever that is 5 meters long?

Here's what I have so far:
6cm
5__________10
x ^ y

x + y = 6 -- x = 6 - y
5x = 10y -- 5(6-y) = 10y --30 – 5y = 10y --30 = 15y -- y=2

x + 2 = 6 -- x = 4

The answers will be 4 and 2, right? But, there's only one line for one answer on my paper. Is it a possibility that there are two answers? Maybe I made a mistake in setting up the equations?

Question

Where should the fulcrum be placed so that a 5 pound weight and a 10 pound weight will balance when placed at opposite ends of a lever that is 5 meters long?

Here's what I have so far:
	6cm
5__________10
   x     ^     y

x + y = 6 --> x = 6 - y
5x = 10y --> 5(6-y) = 10y -->30 – 5y = 10y -->30 = 15y --> y=2

x + 2 = 6 --> x = 4

The answers will be 4 and 2, right? But, there's only one line for one answer on my paper. Is it a possibility that there are two answers? Maybe I made a mistake in setting up the equations?