### 3 men paint a fence. How long will it take each of them to paint the fence by himself? Use Gaussian elimination.

Solve using the Gaussian Elimination and show all work. Mike, Joe and Bill are Painting a fence. The painting can be finished if Mike and Joe work together for 4 hours and Bill works alone for 2 hours, or if Mike and Joe work together for 2 hours, and Bill works alone for 5 hours, or if Mike works alone for 6 hours, Joe works