I was wondering whether you can use KVL for the circuit in the picture. If you can, can you do it like it is drawn here? Can someone help me come up with the mesh equations?

thank you.

 

I your really help if yoou posted the picture. Use the attachment manager of the Advanced Post menu and don't forget to hit the upload button.

 

I your really help if yoou posted the picture. Use the attachment manager of the Advanced Post menu and don't forget to hit the upload button.

You can't see the picture? I can see it in my post. Anyway, please look at the attached.

 

I don't see any problem.
For example, the big loop for the I3, it goes like this:
\(V_3=5\cdot (I_3-I_2)+(4+3j)\cdot (I_3)+5\cdot(I_3-I_1)\)
3 equations with 3 unknowns. You will have to work with complex numbers however.