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Question
Solve the following simultaneous equations :
6x + 3y = 7xy
3x + 9y = 11xy
Solution
6x + 3y = 7xy
3x + 9y = 11xy
Dividing both sides of each equation by xy, we get,
`(6)/y + (3)/x` = 7 .........(1)
`(3)/y + (9)/x` = 11 .........(2)
Multiplying (2) by 2,
`(6)/y + (18)/x` = 22 ...........(3)
Subtracting (1) from (3), we get,
`(15)/x` = 15
⇒ x = 1
∴ `(3)/y + 9` = 11
⇒ `(3)/y` = 11 - 9 = 2
⇒ y = `(3)/(2)`
Thus, the solution set is `(1, 3/2)`.
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