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Question

For how many values of k does the following system of equations have at-least one solution?
          x+y=1;        kx+y=3;                x+ky=5;



Your Answer
A

0

Correct Answer
B

1

Your Answer
C

2

Your Answer
D

Infinitely many


Solution

The correct option is D

1


1.We have

Adding the second and third equations we get (k+1)(x+y)=8, and hence k+1=8.
Thus , k=7. The valus of x=1/3, y=2/3 satisfy the equations if k=7. Hence the answer is B.

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