Question

1/x+1/y =1.5 & 1/x - 1/y =0.5 then find x, y

Answer 1

1/x + 1/y = 1.5 -------(1)
1/x - 1/y = 0.5 --------(2)

============= add both equation
2/x = 2
x = 1
put x = 1 in equation (1)
1 + 1/y = 1.5
1/y = 0.5
y = 2

so x = 1 and y = 2

Answer 2

take LCM of 1/x+1/y=1.5 is
X+y=1.5xy----(1)
and 1/x-1/y=0.5
y-x=0.5xy----(2)
add (1)+(2)
2y=2xy
X=1
sub in (1)
1+y=1.5(1)y
1=1.5y-y
y=2