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Question

Solve for x and y
2x+3y=9xy and 4x+9y=21xy

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Solution

2x+3y=4xy ------- (1)
4x+9y=21xy ------ (2)
on multiplying equation (1) by 2 & then subtract from equation (2) we get
4x+9y=21xy
4x+6y=18xy
- - -
____________________
3y=3xy
[x=1] noe from equation (1)
2x+3y=9xy
9y3y=2y=62=3
Hence [x=1] and [y=3]

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