Let for some real numbers α and β, a=α-i β. If the system of equations 4 i x+(1+i) y=0 and 8( cos (2 π)/3+i sin (2 π)/3) x+ā y=0 has more than one…

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