Question

if 5/x-3/y=9 and 3/x-5/y=7 find the valoe of 1/x-1/y​

Answer 1

Answer:

3x+5y=9-----(1)

5x+3y=7-----(2)

multiplying eq(1) by 5 & eq(2) by 3 we get

15x+25y=45

-15x ± 9y= - 21

_____________

16y=24

y=

16

24

=

2

3

[y=

2

3

] and x=

3

9−5x

2

3

=

2

−1

Hence[x=

2

1

]& [y=

2

3

]

so x+y=

2

1

+

2

3

=2