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Prove that the equations kx + y + z = 1,...

Prove that the equations kx + y + z = 1, x + ky + z = k and x + y + kz = `k^(2)` will have unique solution when `k ne 1` and `k ne -2`. Solve the equations in this case.

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The correct Answer is:
x = 3, y = 1, z = 2
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