解分式方程:10⼀(x+y)+3⼀(x-y)=-5,15⼀(x+y)-2⼀(x-y)=-1

2025-02-27 14:34:01
推荐回答(2个)
回答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

回答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