Question

Solve :
`3/x - 2/y = 0 and 2/x + 5/y = 19` Hence, find 'a' if y = ax + 3.

Answer 1

`3/x - 2/y = 0`                       ......(1)

`2/x + 5/y = 19`                   .......(2)

Multiplying equation no. (1) by 5 and (2) by 2.
`15/x - 10/y = 0`                  ........(3)

`4/x + 10/y = 38`                 ........(4)

Adding (3) and (4),
        `15/x - 10/y = 0`                  

  +    `4/x + 10/y = 38` 
                                         
 `19/x = 38`
  x = `1/2`
From (1)
`3(1/2) - 2/y = 0`
y = `1/3`

∴ y = ax + 3
`1/3 = a(1/2) + 3`
`a/2 = -8/3`
`a = -16/3`