(√2)x+(√3)y＝√7 ①
(√6)x-(√7)y＝√5 ②
①×√3-②
(3+√7)y=√21-√5
y=(√21-√5)/(3+√7)
y=[(√21-√5)(3-√7)]/(9-7)
y=(3√21-3√5-√147+√35)/2
再代入①,解出x.