Question

6. Solve the equations:
1/2x-1/y=-1
1/x+1/2y=8
where x is not equal to 0,ynot equal to 0​

Answer 1

1/2x-1/y=-1

1/x+1/2y=8

let 1/x=U ,1/y=V

2u-v=-1 ________(1)

u+2v=8

Multiplying

2 (u+2v=8)

2u+4v=16______(3)

sub eq (3)--(1)

2u-v=1

2u+4v=16

3v=15

v=5

put the value of v in eq (1)

2u-5=1

2u=6

u=3

1/x=3 1/y= 5

x=3 , y=5