Resolva o sistema de equações, onde $x\in \mathbb{R}$ e $y\in \mathbb{R}$.$$\{\begin{array}{l}{\log }_3({\log }_{\sqrt{3}}x)-{\log }_{\sqrt{3}}({\log }_{3}y)=1\\ (y\sqrt[3]{x}{)}^2=3^{143}\end{array}$$