For what value of k, the following pair of linear equation has infinitely many solutions?

$10 x + 5 y - (k - 5) = 0 20 x + 10 y - k = 0$

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Solution

The given equations are

For the equations to have infinite number of solutions

Let us take

Hence, the value of when the pair of linear equations has infinitely many solutions.

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10 x + 5 y - (k - 5) = 0

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