Question 303251
x^1+x^2+x^3=0
2x^1-x^2-x^3=-3
x^1-x^2+x^3=0 
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Eqns 1 and 3 --> x^2 = 0
If x^2 = 0, then all the terms are zero, and the 2nd eqn is not possible.
You sure those are exponents?  Should they be subscripts?