分式方程组 {①1/(x+y)-1/(y-x)=8/15{②5/(x+y)-5/y=-4

问题描述:

分式方程组
{①1/(x+y)-1/(y-x)=8/15
{②5/(x+y)-5/y=-4

①式左边通分得-2x/(x+y)(y-x)=8/15 ...③
②式左边通分得到5x/y(x+y)=4...④
③/④并化简得到 y/(y-x)=-1/3 可算出x=4y
x=4y代入①或②
结果:x=4,y=1