The Three-Loop Circuit will require five equations to determine the five unknown currents in all the loops. You can calculate this by hand if you are up to the grueling task or you may use Mathematica to solve the series of equations for you. The command you will need to type in is shown below. In either case show your work below or attach a computer print out of your solution. Good Luck!

Solve[{x+y-1==0, x-y+2==0},{x,y}]

This command solves for x and y from the two equations given. Notice the double "=" sign. This is required when you are defining equations for Mathematica to solve.