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###
In Mathematica

For comparison with other CAS choose from:
Axiom
Derive
Macsyma
Maple
Reduce

**inputs ** `outputs`

** Solve[2 x1 + x2 + 3 x3 - 9 == 0,
x1 - 2 x2 + x3 + 2 == 0,
3 x1 + 2 x2 + 2 x3 - 7 == 0, x1, x2, x3 ]
**

{{x1 -> -1, x2 -> 2, x3 -> 3}}

Richard Liska