Well, I think I have given you too many free answers haha.
Just use Ohm's law and you can figure out the input impedance. I = V/R. To get 0 current, your R must be ?
Then you would have the same voltage on the other input if it is directly connected, they are always the same.
Do a KCL at Nodes 1-4.
Hah...just read it and saw you did already I think.
But as an example at Node 1...
(Vx1-10)/R1 + (Vx1-Vx3)/10K + (Vx1-Vx2)/1K = 0
I think in your KCLs you worked backwards compared to me so not sure if this will help or confuse you.
Well, I am raging over my homework and not even going to turn it in because I can't complete enough of it. I really just need to figure this problem out so I don't feel as bad about it. I know this shouldn't be as hard as I am making it, but all examples only have answers containing a...