Node-Voltage help. Is my equation right?

[LP20]

Homework Statement

Find Voltage V_0. There is also a dependent voltage source in the circuit I'm not sure what to do with.
The two nodes on top are essential nodes and can be treated as one, same with both bottom nodes, but the bottom nodes I assigned them to be the reference node.

Picture: http://img696.imageshack.us/img696/5396/1000948x.jpg

Homework Equations

The Attempt at a Solution

My node voltage equation : -3 + V/200 + (V-5i)/10 + (V -80)/20
V is V sub 0: V_0
and i is i sub delta i_Δ

For the equation for i_Δ : would it be (v-80)/20

Again I'm unsure of how to handle the dependent source in this circuit.

 

[berkeman]

Homework Statement

Find Voltage V_0. There is also a dependent voltage source in the circuit I'm not sure what to do with.
The two nodes on top are essential nodes and can be treated as one, same with both bottom nodes, but the bottom nodes I assigned them to be the reference node.

Picture: http://img696.imageshack.us/img696/5396/1000948x.jpg

Homework Equations

The Attempt at a Solution

My node voltage equation : -3 + V/200 + (V-5i)/10 + (V -80)/20
V is V sub 0: V_0
and i is i sub delta i_Δ

For the equation for i_Δ : would it be (v-80)/20

Again I'm unsure of how to handle the dependent source in this circuit.

There really is only one KCL equation for that circuit. You write the sum of all the currents leaving (or entering) the node at the upper left of the circuit (you are correct to call the bottom node the reference or ground node). Don't over-think this -- keep thinking currents. So for the right-hand leg, what is the current leaving out that way? Hint: No voltages are involved. Alternately, you can write i_Δ in terms of V_o and constants...