Determine the currents in i_1, i_2, and i_3. Remember to do this with reference to the direction indicated by the arrows. It should be quite evident that the resistors are not connected in parallel or series - there are two power sources. We shall apply Kirchoff's laws to determine the answer regardless. There are a number of ways to do this, but a straightfoward way uses KCL, KVL, and Ohm's law- you'll find that you can formulate systems of equations with regards to the current of the junctions. Note that although you might not know the current's themselves, you can express them using Ohm's law, I=V/R. Step 1: Choose a reference node to start the problem from. Let's use node 1. Step 2: Label the current paths to and from this reference node (I_1,I_2,I_3)