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

$8 x + 5 y = 9 k x + 10 y = 18$

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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,

Hence for the system of equation have infinitely many solutions

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