Find the value of k for which the given equations have infinitely many solution.

kx + 3y = 8; 6x + 9y = 24.​

1 thought on “Find the value of k for which the given equations have infinitely many solution.<br /><br />kx + 3y = 8; 6x + 9y = 24.​”

1. Answer:

   Equations are kx + 3y = 8 ; 6x + 9y = 24

   OR

   kx + 3y – 8 = 0 ; 6x + 9y – 24 = 0

   a1 = k ; b1 = 3 ; c1 = -8

   a2 = 6 ; b2 = 9 ; c2 = -24

   a1/a2 = k/6

   b1/b2 = 3/9 = 1/3

   c1/c2 = -8/-24 = 8/24 = 1/3

   Then condition for infinitely many solution is:

   a1/a2 = b1/b2 = c1/c2

   k/6 = 1/3

   3 × k = 6 × 1

   3k = 6

   k = 6/3 = 2

   I hope this will help u. Please add this to the brainliest.

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