Question

solve linear pair of equations x+y/xy and x-y/xy

Answer 1

let (x+y)/xy=k
(x-y)/xy=m

(x+y)/xy=k
x+y=kxy ---------(1)

(x-y)/xy=m
x-y=mxy -------(2)
now solve add (1) and (2)
=> 2x=(k+m) xy
=>2 =(k+m) y

y=2/(k+m) ,
again ,equation subtract equation (1) and (2)

=>x+y-x+y=(k-m) xy

=> 2=(k-m) x

=>x=2/(k-m)

hence solution of this pair of equations
x=2/(k-m) and y=2/(k+m)