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An ordered pair ( α , β ) for which the system of linear equations (1 + α ) x + β y + z = 2 α x + (1 + β )y + z = 3 α x + β y + 2z = 2 has a unique solution, is :

1. (–3, 1)
2. (1, –3)
3. (–4, 2)
4. (2, 4)

Correct answer: (2, 4)

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