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Question

Find the value of k for which the given system of equations has no solution?
x+2y=3
3x+ky15=0

A
k=6
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B
None of the above
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C
k6
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D
k7
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Solution

The correct option is A k=6
Give: x+2y=3
3x+ky15=0
Condition for no solution:
a1a2=b1b2c1c2

a1=1, a2=3, b1=2, b2=k

13=2k315k=6

When k=6 the set of equations represents two parallel lines which don't intersect at any point. So they can't have a common point which would be the solution.

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