The value of 'k' for which the system of linear equations 6x + y = 3k and 36x + 6y = 3 has infinitely many solutio... | MCQ 1m | Maths | SuperPadhai

Linear Equations > Question

MCQ1 markYear: 2025EasyCBSE Class 10

linear-equationsconsistency

Question

The value of '

k

' for which the system of linear equations

6 x + y = 3 k

and

36 x + 6 y = 3

has infinitely many solutions is:

Solution

1

For infinitely many solutions:

\frac{6}{36} = \frac{1}{6} = \frac{3 k}{3}

. So

\frac{1}{6} = k

. Therefore

k = \frac{1}{6}

.

+1 mark

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