Question

1．解方程组：$\left\{\begin{array}{l}{\sqrt{3}x-\sqrt{5}y=-2}\\{\sqrt{5}x-\sqrt{3}y=0}\end{array}\right.$．

Answer 1

分析 利用二元一次方程组的解法首先化简进而求出即可．

解答 解：$\left\{\begin{array}{l}{\sqrt{3}x-\sqrt{5}y=-2}\\{\sqrt{5}x-\sqrt{3}y=0}\end{array}\right.$
则$\left\{\begin{array}{l}{\sqrt{15}x-5y=-2\sqrt{5}}\\{\sqrt{15}x-3y=0}\end{array}\right.$，
解得：$\left\{\begin{array}{l}{x=\sqrt{3}}\\{y=\sqrt{5}}\end{array}\right.$．

点评 此题主要考查了二元一次方程组的解法以及二次根式的应用，正确化简各式是解题关键．