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Question: Problem with equation systems in Maple 15

Question:Problem with equation systems in Maple 15

cahocachi 5 Maple 15
solve
March 14 2012
1 
eq1 := x+y+z+a*t-s = 0;
eq2 := x-y+2*z-t = 1;
eq3 := 2*x-y+t+s = a;
eq4 := 2*x-3*y+z-2*t+2*s = 3;
eq5 := -y+4*z-3*t-s = 0;

solve({eq1, eq2, eq3, eq4, eq5}, {x, y, z, t, s});

I need to solve this system in any case in which the value of a is not 2. If I substitute a by 2, the system is solved, but if I try to solve it like this or if I try to substitute a by any value that is not 2, not even an error appears.

What the hell am I doing wrong? I've been trying to figure this out for an hour now and I got no solutions.
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