1. The problem statement, all variables and given/known data Sorry for edit, accidentally posted. Circuit is show in my attachment. I have 3 loops with three unknown currents. 8 Ohms of resistance down the left side. 6 Ohms of resistance and a 4V battery down the center. 4 Ohms of resistance and a 12V battery down the right side. I honestly have no idea if I'm even approaching this correctly. 2. Relevant equations Kirchhoff's Rules 3. The attempt at a solution See attachment: Loop A (Big Loop) -8I1 +12V +4I1 +4I3 = 0 -4I1 +4I3 = -12V Loop B (Left) -8I1 +4V -6I1 +6I2 = 0 -14I1 + 6I2 = -4V Loop C (Right) -6I3 - 6I2 - 4V + 12V - 4I3 = 0 -10I3 - 6I2 = -8V combine in a matrix I1 I2 I3 V a -4 0 -4 -12 b -14 6 0 -4 c 0 -6 -10 8 rref() I1 = 1.083 I2 = 1.861 I3 = -1.917 Im not entirely sure, but I think these are voltages for the loops, so from there I would set V= IR for each of the loops to find the current, but this produces the wrong answer. This is the easiest circuit in my textbook, and I have been searching the web for problems which is only making matters worse I think. Any help would be greatly appreciated.