Let for some real numbers \( \alpha \) and \( \beta, a=\alpha-i \beta \). If the system of equat...

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Let for some real numbers \( \alpha \) and \( \beta, a=\alpha-i \beta \). If the system of equations \( 4 i x+(1+i) y=0 \) and \( 8\left(\cos \frac{2 \pi}{3}+i \sin \frac{2 \pi}{3}\right) \) \( x+\bar{a} y=0 \) has more than one solution then \( \frac{\alpha}{\beta} \) is equal to
(a) \( -2+\sqrt{3} \)
(b) \( 2-\sqrt{3} \)
(c) \( 2+\sqrt{3} \)
(d) \( -2-\sqrt{3} \)
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