I have a hard time with the following equation, because it never checks out. If i only use 3 of the 5 equations in finding the solution the other 2 don't have the correct values for the soulutions to be right. I would really appreciate your help. Thank you very much for your time.

x + y + z = 2

2x - 3y - z = 5

x - 2y - 3z = -4

5x + y - 2z = -3

3x + 2y + 2z = 3