Finding Voltages at V1, V2, and V3 using Node Analysis

[tanky322]

Homework Statement

Find the voltages at V1 V2 & V3 in the attached circuit using node analysis.

Homework Equations

Node analysis

The Attempt at a Solution

I came up with a few equations for the variables:

V1(.5+1)-12(.5)=5
V2(.333+.25)-V3(.25)=3
V3(.25)-V2(.25)=-5

Solving I get V1:7.33V
V2:-6V
V3:-26V
I think I did it right but i don't see how i can get -26V when there's only 12 to begin with??

Andrew

 

[doodle]

No mistakes alright.

 

[pooface]

The voltage source is not the only source of current.
There are constant current sources involved in the circuit as well. So there would be situations of V= I(current from voltage source + current from constant current source)R.

 

[tanky322]

Sweet! thanks allot!