Only part a was assigned.

Determine the node voltages V₁, V₂, and V₃. Note that these voltages are already specified on the diagram. I have added the voltages at the nodes themselves in the manner presented in class, so that each node voltage is actually labeled twice on the diagram.

V₅ and V₂₀ were added to assist in finding the currents into node 3.

Define io (used to define the dependent sources) in terms of node voltages.

io = (V₂ - V₃) / 50

There are no supernodes in this problem.

I will sum the currents into the nodes.

NODE 1:

(Eq. 1)

NODE 2:

(Eq.  2)

NODE 3:

First, we need to find V₅ and V₂₀ in order to get the two corresponding currents into node 3.

For V₅

For V₂₀

Now KCL at node 3

(Eq. 3)

Solving Equations 1, 2, and 3 yields:

V₁ = - 53.5 V

V₂ = - 32.1 V

V₃ = 2.67 V