已知,xy⼀x+y=3,求代数式3x-5xy+3y⼀-x+3xy-y的值

2025-06-22 17:48:18
推荐回答(2个)
回答1:

xy/x+y=3
xy=3(x+y)
3x-5xy+3y/-x+3xy-y
=(3x+3y)-5*3(x+y)/[-x-y+3*3(x+y)]
=-12(x+y)/8(x+y)
=-3/2
望采纳,谢谢!

回答2:

xy/x+y=3 取倒数 得 1/x+1/y=1/3
3x-5xy+3y/-x+3xy-y=(3/x+3/y-5)/[3-(1/x+1/y)]=(1-5)/(3-1/3)=(-4/(8/3)=-3/2(分子分母同除xy)