What methods have you been taught or are you allowed to use?
Find the basic solutions and write the general solution as a linear combination of the basic solutions.
x+2y-z+2s+t=0
x+2y+2z+t=0
2x+4y-2z+3s+t=0
Thanks alot.
You don't really need to use anything as sophisticated as "Gauss-Jordan". For example, subtracting the first two equations immediately eliminates x and y and subtracting twice the second equation from the third does the same thing, leaving two equations to be solved for z, s, and t.