Question

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

Answer 1

分析 利用二元一次方程組的解法首先化簡(jiǎn)進(jìn)而求出即可．

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

點(diǎn)評(píng) 此題主要考查了二元一次方程組的解法以及二次根式的應(yīng)用，正確化簡(jiǎn)各式是解題關(guān)鍵．