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Question

Find the value of k for which the system of equations
6x+7y+3=0, kx+21y+9=0 has infinitely many solutions.

A
18
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B
16
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C
14
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D
12
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Solution

The correct option is A 18
The given system is of the form

a1x+b1y+c1=0, a2x+b2y+c2=0

Here, a1=6, a2=k, b1=7, b2=21, c1=3, c2=9

If, the system has infinitely many solutions.

a1a2=b1b2=c1c2

6k=721=39

k=18

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