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The following system of linear equations...

The following system of linear equations
`2x + 3y + 2z = 9`
`3x + 2y + 2z = 9`
`x - y + 4z = 8`

A

has a solution `(alpha, beta, gamma)` satisfying `alpha + beta^2 + gamma^3 = 12`

B

has infinitely many solutions

C

does not have any solution

D

has a unique solution

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The correct Answer is:
D
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