Question

3/x+8/y=-1, 1/x-2/y=2

Answer 1

solution.
now I will take l.c.m
of X and y
3y+8x/xy = -1.....

Answer 2

Let 1/x = p and 1/y = q. Then,
3p + 8q = -1 × 1
1p - 2q = 2. × 4
=> 3p + 8q = -1
4p - 8q = 8
=> 7p = 7 => p = 1
=> q =( - 1 -3p)/8 = -1-3/8 = -4/8 = -1/2
1/x = p => 1/x = 1 => x = 1
1/y = q => 1/y = -1/2 => y = -2