Question

find the value of x and y

Answer 1

Answer:

Step-by-step explanation:

6/x+y= 7/x-y +3

1/2(x+y)=1/3(x-y)

let 1/x+y be 'u' and 1/x-y be 'v'

6u=7v+3 or6u-7v=3 (eq 1)

1u/2=1v/3

cross multiply

3u=2v

v=3u/2

putting the value of v in eq 1 we get

6u-7*3u/2=3

as the LCM is 2

6u*2-21u=3*2

12u-21u=6

-9u=6

u=6/-9=-2/3

v=3u/2

v=(3* -2/3)/2

v=-2/2

v=-1

as 1/x+y=u

1/x+y= -2/3

x+y=-3/2 or 2x+2y= -3 (eq 2)

as 1/x-y=v

x-y=1/v

x-y=1/-1

x-y= -1 (eq 3)

from eq 2 and 3 we get

2x-2y= -3

(x-y= -1*)2

2x+2y= -3

2x-2y= -2

4x= -5

x=-5/4=-1.25

putting the value of x in eq 3 we get

-1.25-y=-1

-y=-1+1.25=0.25

y=-0.25

x=-1.25,y=-0.25