Im having a bit of trouble with some problems using Kirchoff's rules. The problem states for me to calculate each of the unknown currents: I1, I2, & I3 for the circuit diagram attached. Now Ive drawn my diagram and ive gotten my three equations for three unknowns, but i keep getting a negative number for the final answers for I1 and I2. I3 ends up being way off. Equations: 1. I3 = I1 + I2 2. 8 = -2.0 I1 – I3 3. 4 = I3 – 2I2 4. 6 = -I1 – I2 The equations come from the following: 1. Conservation of energy rule 2. Top loop 3. Bottom Loop 4. Outside Loop This is the way that my professor was having us practice them in class. Using equation #2 and substituting equation #1 into #2 I arrive at the following: Work: 8 = -2.0I1 – I3 8 = -2.0I1 – (I1 +I2) 8 = -3.0I1 – I2 Then Solving for I2 on equation #4 I got: I2 = -I1 – 6 Including this into the previous equation I got 8 = -3.0I1 – (-I1 – 6) 8 = -3.0I1 - I1 - 6 8 = -4.0I1 -6 14 = -4.0I1 Dividing -3.5 = I1 The proper answer is +3.5 Ive worked the problem over and over and I can't seem to see where I got a sign mixed up. If someone could steer me in the right direction I would be very thankful.