Please check if I did this correctly. (Simple Transformer-Circuit Problem)

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Homework Statement



http://i.imgur.com/v6Xra.jpg

I am supposed to find Ix, the current at the top right. There is an ideal transformer in the circuit.

I basically applied KCL at the 4 nodes, and applied Transformer Voltage Equation and Transformer Current Equation. But I think I am ONE equation short..

Can someone please look over my work (in the picture) and tell me what's wrong? Been at this for a while now.

Thanks for all your help!
 

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http://imgur.com/4yxwi

Here is the original picture.

Ibasically did KCL setting the nodes from left to right

Va, Vb, Vc, Vd

You can zoom in and it should be more clear.
 
With your two ideal transformer equations and the KCL equations for your nodes b, c, and d, you should have enough equations. Perhaps you're trying to force Ix into the mix too soon. Find the node voltages first, then use them to find Ix.
 
you're right. I forced I_x too early. I figured out va and vc and THEN plugged it into Ix.

Thanks a lot! makes a lot more sense now~