I'm having a hard time finding V2 in terms of I2. I've tried various forms of KCL and KVL but I can't seem to find the right answer. I hope someone can enlighten me.
Can you show us your work? Then we can further diagnose what the problem is and point you in the right direction.
My node equation is: Current direction was chosen as leaving the node for both branches. Note the polarity on the dependent voltage source. Also, Vx can be replaced by the expression for a 1Ω and 4Ω voltage divider (making it 1/5 V2) This gives 1.111ohms when used in the second equation.