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Question

If 2x+3y=9xy and 4x+9y=21xy, where x0,y0, the values of x and y are, respectively.
  1. 0 and 1
  2. 1 and 2
  3. 2 and 3
  4. 1 and 3
  5. None of the above


Solution

The correct option is D 1 and 3
Multiplying each equation throughout by xy, we get
3x+2y=9  and  9x+4y=21
On solving these equations, we get
x = 1, y = 3

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