Find the Loop currents that are shown in the network of the figure below.
The Attempt at a Solution
I know that I need to create 3 equations since there are three unknown currents and then solve for them so here is what I got.
1) [tex] 10V-5I_1-2I_1=0 [/tex]
2) [tex] 10V-5I_3-3I_3-20V-4I_3+4I_2=0 [/tex]
3) [tex] 4I_2-4I_3+2I_2=0 [/tex]
When I solve for the currents I get
[tex] I_1=1.43A [/tex]
While the correct answers should be 3.55A, -1.98A, -2.98A. I suspect that my equations are incorrect but I can't come up with any equations that give me the right answer or make any sense.