Question

Solve 1/x + 1/y = 9 and 1/x - 1/y = 3​

Answer 1

Answer:

x = 1 / 6    and   y = 1 / 3

Step-by-step explanation:

  Let 1/x = a    and   1/y = b

Given,

⇒  a + b = 9  

⇒ a = 9 - b

    In other equation:

⇒ a - b = 3

⇒ ( 9 - b ) - b = 3   { from above, a = 9 - b }

⇒ 9 - b - b = 3

⇒ 9 - 2b = 3

⇒ 9 - 3 = 2b

⇒ 6 = 2b

⇒ 6 / 2 = b

⇒ 3 = b

      Therefore,

 ⇒ a = 9 - b

        = 9 - 3

        = 6

     Hence,

 a = 1 / x = 6  ; x = 1 / 6

 b = 1 / y = 3  ; y = 1 / 3

Answer 2

Answer:

hope this helps u :-)

Step-by-step explanation:

1/x + 1/y = 9                                     ...(i)

1/x - 1/y = 3​                                     ...(ii)

let 1/x be a and 1/y be b.

1/x + 1/y = 9

=>a+b=9                                     ...(iii)

1/x - 1/y = 3​    

=>a-b=3                                      ...(iv)

   a+b=9

   a-b=3

---------------

2a=12

=>a=12/2=6

putting the value of a in equation ...(iii)

a+b=9

=>6+b=9

=>b=9-6=3

1/x=a

=>1/x=6

=>x=1/6

1/y=b

=>1/y=3

=>y=1/3