解分式方程:10/(x+y)+3/(x-y)=-5,15/(x+y)-2/(x-y)=-1

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解分式方程:10/(x+y)+3/(x-y)=-5,15/(x+y)-2/(x-y)=-1

解分式方程:10/(x+y)+3/(x-y)=-5,15/(x+y)-2/(x-y)=-1
解分式方程:10/(x+y)+3/(x-y)=-5,15/(x+y)-2/(x-y)=-1

解分式方程:10/(x+y)+3/(x-y)=-5,15/(x+y)-2/(x-y)=-1

1/(x+y)=u
1/(x-y)=v
解方程组
10u+3v=-5
15u-2v=-1
u=-0.2
v=-1
x+y=-5
x-y=-1
然后解得
x=-3
y=-2

令1/(x+y)=a,1/(x-y)=b
10a+3b=-5
15a-2b=-1
a=-1/5,b=-1
x+y=-5,x-y=-1
x=-3,y=-2