1. The problem statement, all variables and given/known data Here is a picture of the diagram. http://gyazo.com/f1b7051fda5b9e1d3a185c53abde1211 I must use the Gauss Jordan elimination method and solve for X1, X2 and X3 I am having problems setting up my equations 2. Relevant equations 3. The attempt at a solution The way my professor showed an example of a question similar to this was by setting up 2 equations for each junction, and 2 for each loop. My attempt: ∑ Flows Entering = 0 Junction A (Top of the line inbetween loops) : X1 - X2 - X3 =0 ?? Junction B (Bottom of line inbetween loops) : X1 + X2 - X3 =0 ?? Loop1 (Left side) : 10X1 - 5X2 + X3 = 0 Loop2 (Right Side): X1 + 5X2 - X3 = -52 Can someone correct my equations?