Question

Solve for x and y:
`3/x + 6/y = 7, 9/x + 3/y = 11`

Answer 1

The given equations can be written as
`3/x + 6/y = 7`                                       …….(i)
`9/x  + 3/y = 11`                                     ……(ii)
Multiplying (i) by 3 and subtracting (ii) from it, we get
`18/y - 3/y = 21 – 11`
⇒ `15/y = 10`
⇒` y = 15/10 = 3/2`
Substituting y = `3/2` in (i), we have
`3/x + (6×2)/3 = 7`
`⇒ 3/x = 7 – 4 = 3`
Hence, x = 1 and y = `3/2`.