Question: System of linear equations, (non)homogeneous equationsystem.

Are there a way to this in calculate this in Maple?

I have a system of linear equations, with two equations:

 

x[1]+x[2]+2*x[3] = -5

x[1]+x[2]-2*x[3] = 3

 

a) Find one solution to this nonhomogeneous equationsystem? The answer need to be in vector form.

b) Find the "complete" solution to the homogeneous equationsystem? The answer need to be in para mite based vector form.

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