Hello everyone I have a slight problem. I am confused on how you know what path current is going to travel and also what voltage sources your suppose to add up to a specific resistor. For example here is my picture, already solved: The directions where to find the value of ix, the orignal problem only had the values of each voltage source and the values of the ressitors and it already had ix labeled. http://img326.imageshack.us/img326/681/lastscan8rj.jpg [Broken] I'm confused on how they found I1, I1 and I3. I understand current travels from high potential to low potential and also always comes out of the postive side of a voltage source. So i understand the drawing of the current arrows. But for example, when they found I1 = (20V+5V-10V)/5 OHMS = 3A. Why did they add up those voltage sources? how did they know the current was going to go that path and not just go around the top smaller loop? so I1 = (5V)/5OHMS ? then they found I2 = (20V-10V)/10OHMS = 1A. Also confused. how did they know I2's ressitor was going to have 20V pass through it and 10V's but not the 5 V's? Then finally I3 = (10V)/2 OHMS = 5A. Why did they only use 10V? why wouldn't u use all of them? See this is where i'm very confused. I get the concept of kcl, Currents at a junction = Currents out a junction. I also understand kvl, where the sum of higher potential = lower potential. Thanks, any help would be great!