When using Gaussian elimination to solve a system of linear equations, explain how you can recognize that the system has no solution. Give an example that illustrates your answer.

Answer 1

1 x +1 y = 2
1 x +1 y = 3

1 1 2
1 1 3 subtract top one from this

1 1 2
0 0 1 oh my! 0x+0y=1 ?