Let's suppose the following circuit:

![enter image description here][1]

I am trying to find a relation between Vs, V1 and V2 at this circuit. Please note that Vs is measured in relation to the ground. I have declared some extra points (A,B,C) on the circuit and using voltage divider laws and the properties of an ideal operational amplifier I came up with the following solution:

![enter image description here][2]

Is this correct?

Another solution with a different result is the following:
![enter image description here][3]

I am really confused.

  [1]: https://i.sstatic.net/1db4t.png
  [2]: https://i.sstatic.net/f7DrA.png
  [3]: https://i.sstatic.net/zyxuF.png