Then, in your work, why do you only circle the vertical one since the horizontal one is the same node/It is connected in the upper middle ...
Whether it is a supernode or not is beside the point. You have indicated that the voltage of the upper left node is -2 V. Why? Just because it is connected to negative side of a -2 V supply?yes theres a voltage source between 2 non reference nodes its a supernode
If I check your node equations it will be to see if they are in agreement with your diagram. There's no point in doing that until your diagram is unambiguous.Please check my node equation..
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by Dale Wilson