Question

10/x+y + 2/x-y=4;15/x+y-5/x-y=-2​

Answer 1

Answer:

Step-by-step explanation: Hope this helps ;)

Answer 2

Answer:

x=2 , y=1

Step-by-step explanation:

let 1/x+y=a

     1/x-y=b

10a+2b=4   *5----------1

15a-5b= -2   *2----------2

__________

50a+10b=20----------3

30a-10b= -4-------------4

__________

adding on bothside

80a= 16

a = 16/80

a= 1/5

putting a in eqn 1

10a +  2b = 4

10*1/5 + 2b = 4

2 + 2b = 4

2b = 4 - 2

b = 2/2

b = 1

resubstituiting the values

a= 1/x+y ; b=1/x-y

1/5= x+y ; 1= x - y

x+y = 5 -------- 5 ; x-y =1 ------ 6

adding eqn 5 and eqn 6

x+y = 5 ------------ 5

x-y = 1 ----------- 6

_____

2x = 6

x = 6/3

x = 2

putting x in eqn 6

x-y = 1

2-y = 1

- y = 1 -  2

- y = -1

y = 1