How to solve this circuit with dependant current source and resistors that are neither parallel nor in series?
This easily leads to one more unknown voltage or current than the number of equations, if one tries blindly to apply some systematic method. The missing equation fortunately can be found after a little thinking:



Here we have three node equations and four unknowns. The missing equation here is the fact that V3 = V1-I*R2. By inserting it we have 3 unknowns left and our three node equations are enough.

(stop, I never give full solutions to homeworks)