(√3)x+(√2)y=5··········① (√2)x+ (√3)y=2 √6·········②
①×√3－②×√2得：x＝5√3－4√3 ∴x＝√3
将x＝√3代入①得：y＝√2
∴原方程组的解为：x＝√3 y＝√2