用代元法
令1/x+y=m 1/x-y=n
10m+3n=-5
15m-2n=-1
m=-1/5
n=-1
1/x-y=n 1/x+y=m
1/x-y=-1
1/x+y=-1/5
x-y=-1
x+y=-5
x=-3
y=-2
等式两边同时乘以(X+Y)(X-Y)得:10(X-Y)+3(X+Y)=-5(X+Y)(X-Y) ①
15(X-Y)-2(X+Y)=-(X+Y)(X-Y) ②
②式带入①式得:65(X-Y)=13(X+Y) 得:X=1.5Y 带入①式 5Y+7.5Y=-5*2.5Y*0.5Y
12.5Y=-6.25Y*Y Y*Y+2Y=0 Y=-2或0 因为X+Y与X-Y不能为0,所以Y=-2 X=-3
x=-3 y=-2 只要同乘(x+y)(x-y)就OK了
x=-3,y=-2