Question

Solve for x&y. 10/x+y + 2/x-y =4 and 15/x+y - 5/x-y =-2.​

Answer 1

Step-by-step explanation:

let 1/x+y=a and 1/x-y=b

so,10a+2b=4] ÷2

15a-5b=-2] ÷5

5a+b=2

3a-b=-2/5

adding both

8a=2-2/5=(10-2)/5=8/5

a=1/5

putting value of a

5*1/5+b=2

b=2-1=1

1/a=x+y=5

1/b=x-y=1

adding

2x=6

x=3

x-y=1

putting value of x

3-y=1

y=2