The following system of linear equations2x + 3y + 2z = 93x + 2y + 2z = 9x $-$ y + 4z = 8

Question

The following system of linear equations

2x + 3y + 2z = 9

3x + 2y + 2z = 9

x $-$ y + 4z = 8

does not have any solution

has a solution ($\alpha$, $\beta$, $\gamma$) satisfying $\alpha$ + $\beta$² + $\gamma$³ = 12

has a unique solution

has infinitely many solutions

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