Question

(22/x+y) + (15/x-y) =5

(55/x+y) + (45/x-y) = 14
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Answer 1

Let , 1/x+y=m ; 1/x-y=n

:- 22m+15n=5 -----------(1)

55m+45n=14----------(2)

MULTIPLYING EQUATION (1) BY 3

66m+45n=15-----------(3)

SUBTRACTING EQUATION (2) FROM (3)

66m+45n=15 --------------FROM (3)

55m+45n=14--------------FROM (2)

(-) (-) (-)

____________

11m = 1

m =1/11

PUT m = 1/11 IN EQUATION (1)

22×1/11+15n=5

2+15n=5

15n=5-2

n=3/15

n=1/5

REPLACE m = 1/x+y and n=1/x-y

1/11=1/x+y ; 1/5=1/x-y

x+y=11 ; x-y=5

x+y=11-----------(4)

x-y=5------------(5)

ADDING (4) AND (5)

x+y= 11-------------FROM (4)

x-y = 5-------------FROM (5)

_____________________

2x=16

:- x= 8

PUT X= 8 IN EQUATION (4)

8+y =11

y =11-8

:- y =3