Question

Solve:

`9/x - 4/y = 8`

`13/x + 7/y = 101`

Answer 1

`9/x - 4/y = 8`           ...(1)

`13/x + 7/y = 101`          ...(2)

Multiplying equation no. (1) by 7 and (2) by 4.
`63/x - 28/y = 56`          ...(3)

`52/x + 28/y = 404`          ...(4)

Adding equation (3) and (4)
        `63/x - 28/y = 56`  

 +    `52/x + 28/y = 404` 
                                          
      `115/x` = 460
      `x = 115/460 = x = 1/4`

From (1)

9 x `(4/1) - 4/y = 8`

`-4/y = - 28`

`y = 1/7`