Solve i_x when a=2. (See attached picture) This is my attempt (mesh current analysis): I made i1 be the lower left loop current. I made i2 be the lower right loop current. I made i3 be the upper loop current. Mesh1: i1 = 2ix Mesh2: -10 + 3(i2-i3) + 20i2 = 0 Mesh3: -5 + 3(i3 - i2) + 10(i3-i1) = 0 Also: ix = i3 - i2 => -i1 - 2i2 + 2i3 = 0 Using those last three equations: i1=0, i2=.5, i3=.5 I don't think that i1 can be 0... and I can't figure out any place I went wrong; it seems pretty straightforward? Thank you very much for your help!