Question

2/(x+y)- 1/(x-y) = 11 (equation1) 5/(x+y)+4/(x-y)=8 (equation 2) please solve and send the correct answer linear equation find x and y​ step by step

Answer 1

Answer:

x= (-1/24)

y= 7/24

Step-by-step explanation:

Let 1/(x+y) = m and 1/(x-y)=n

So equations become,

2m-n=11 (i)

5m+4n=8 (ii)

Multiplying eq(i) by 4, we get

8m-4n=44 (iii)

Adding eq(ii) and eq(iii)

13m=52

m=4

Substituting the value of m in eq(i),

2(4)-n=11

n=8-11

n=(-3)

Now,

m=1/(x+y) = 4

x+y= 1/4 eq(A)

And,

n=1/(x-y) =-3

x-y= -1/3 eq(B)

Adding eq(A) and eq(B)

2x=1/4 - 1/3

2x= -1/12

x= (-1/24)

Substituting the value of x in eq(A)

-1/24 +y= 1/4

y= 1/4+ 1/24

y= 7/24