Question

solve, 5/x+y - 2/x-y=-1 and 15/x+y+7/x-y=10​

Answer 1

Step-by-step explanation:

5/(x+y) - 2/(x-y) =-1. eq.1

15/(x+y) + 7/(x-y)= 10. eq.2

let 1/(x+y)=u and 1/(x-y)=v putting them in eq.1 & eq.2 ,we get,

5u-2v=-1. eq.3

15u+7y=10. eq.4

multiplying 3 in eq.3 and subtract from eq.4 ,we get,

13v=13

v = 1

putting the value v = 1 in eq . 3. we get

5u = 1

u = 1/5

1/(x+y) = 1/5

x+y = 5 eq. 5

1/(x-y) = 1

x-y = 1 eq. 6

on adding eq. 5 and eq. 6,we get

2x=6

x = 3

putting the value x = 3 in eq. 5 ,we get

y = 2

Hence,the value of x = 3 and y = 2.

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