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Question: The number of values of ‘k’, for which the system x = 2y + kz = 1 2x = ky + 8z = 3 does not have ...

The number of values of ‘k’, for which the system

x = 2y + kz = 1

2x = ky + 8z = 3

does not have a solution, is –

A

0

B

1

C

2

D

Infinite

Answer

1

Explanation

Solution

x + 2y + kz = 1

2x + ky + 8z = 3

12\frac{1}{2}= 2k\frac{2}{k}= k8\frac{k}{8} Ž k = 4

\one value of k for which there is no solution