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