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Question

If the pair of linear equations kxy=5,x+ky=5 has a unique solution (x=2,y=1), then the value of k is ____.


  1. 2

  2. 3

  3. -3

  4. 4


Solution

The correct option is B

3


Substitute the value of  x = 2 and y = 1 in any one of the equation

kxy=5

k(2)1=5

2k=6k=3

For verification, substitute k =3, x = 2 and y = 1 in the second equation.

x+ky=5

2+3(1)=5LHS=RHS

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