Find the value of k for which each of the following system of equations have infinitely many solutions :

$k x + 3 y = 2 k + 1 2 (k + 1) x + 9 y = 7 k + 1$

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Solution

GIVEN:

To find: To determine for what value of k the system of equation has infinitely many solutions

We know that the system of equations

For infinitely many solution

Here,

Consider the following relation to find k

Now consider the following

Hence for the system of equation have infinitely many solutions

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Similar questions

k x + 3 y = (2 x + 1), 2 (k + 1) x + 9 y = (7 k + 1) .

Find value of k for infinite Sol for pair of linear equation

kx + 3y = 2k + 1

2 ( k + 1)x + 9x = 7k + 1

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