Question

for what value of k, the following pair of linear equation has infinite number of solutions :kx+3y=(2k+1) ; 2(k+1) x+9y=(7k+1).

Answer 1

Here is your answer :-

In these equations ,

a = k , b = 3 , c = (2k+1)

A = 2(k+1) , B = 9 , C = (7k+1)

These equations has infinity solutions . so ,

a/A = b/B = c/C

k/2k+2 = 3/9 = 2k+1/7k+1

(1) k/2k+2 =3/9

9k = 6k +6

3k = 6

k = 2

So , the value of k is 2

Hope it helps you ..thanks

Answer 2

Step-by-step explanation:

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