Electrical circuit Analysis
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Thats fair, worth a try tho. As i have done all the equations and calculations. I found that V_1 and V_2 are incorrect however my Ix and V_3 are the correct values
I see. In order to solve this question carefully, one needs to write a linear system of equations and solve it using matrix algebra. You are basically expecting someone to spend at least 30 minutes of their time to answer this question.
You have a problem with the signs. I don't know which convention you want to use, I think both are possible, but you must decide whether positive current flows from higher potential to lower potential or the other way.
For your V2 (which is V0) you count negative the 3A I.e., you say that they flow "out" of the point at potential V0 = V2, say that should be > 0, to the ground (potential 0). Therefore, if V1 < V2, the current (V2 - V1)/ 6 should also "flow out", and in the same way, and also (V2-V3)/3 should be there with a - sign, just as for the 3 A = (V2-0)/(resistance of amperemeter).
also note that between V3 and V4 you can replace the 2 resistances of 6 Ohm by 1 resistance of 3 Ohm to simplify