Use Gaussian elimination; calculate the current, i1, i2, i3, in each branch of an electrical network that produced the following set of simultaneous equations:
2i_2 - i_2 +i_3 = -2
i_1 + 2i_2 + 3i_3 = -1
2i_1 + 2i_2 - i_3 = 8
The solution gives detailed steps on solving a system of 3 equations using Gaussian Elimination.