CAT 1991 Question Paper Question 13

Question 13

What is the value of k for which the following system of equations has no solution:
2x-8y = 3 and kx +4y = 10


On solving both equations, we will get $$x = \frac{23}{2+2k}$$
now for having no solutions to system 2+2k should be 0.
Hence k=-1

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