SOLUTION: determine the value of k for which the system of linear equations has no solution: 2x-y=3 ; 4x+ky=4.

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Question 314481: determine the value of k for which the system of linear equations has no solution:
2x-y=3 ; 4x+ky=4.
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
2x+-y+=+3 double this
4x+-+2y+=+6
4x+%2B+ky+=+4 subtract this equation from the one above
%28-2+-k%29y+=+2
y+=+-2%2F%282%2Bk%29
if k = -2, then the denominator is 0. And so is undefined. Implies no solution
Check your answer
2x+-+y+=+3 double this
4x+-+2y+=+6
4x+-2y+=+4
This cannot be true, since 6 does not equal 4