解方程组.2/(x-y)+6/(x+y)=11/10,4/(x-y)-6/(x+y)=1/10(过程谢谢!）_数学解答

解方程组.2/(x-y)+6/(x+y)=11/10,4/(x-y)-6/(x+y)=1/10(过程谢谢!）

人气：406 ℃　时间：2020-07-26 04:46:51

解答

令1/(x-y)=u,1/(x+y)=v,则
2u+6v=11/10
4u-6v=1/10
相加除以6得
u=(11/10+1/10)/6=1/5
v=(11/10-2*1/5)/6=7/60
所以
x-y=5
x+y=60/7
x=(5+60/7)/2=95/14
y=(60/7-5)/2=25/14