Question: Question about how to solve a equation system with a variable (a)


I need to determine for every value on the constant (a), all the solutions to the equations system:
(a+1) x+a y+z=-2a, 3 x+(a-5) y-4 z=1, -x+2 y+2 z=0.
Also I need all values on (a) for which the system do not have any solutions and the values on (a) for which the system has an unlimited amount of solutions.
How do I do (in maple)?
Pleas attach your answer in a maple document since my web browser have trouble reading maple math in this forum.
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