Question

find the value of k such that (2,1)is the solution of the equation 7x-ky(1)=6k​

Answer 1

Answer:

(2,1)is the solution of the equation 7x-ky(1)=6k​

Step-by-step explanation:

Pair of Linear equations :

i) 2x +3y=7

ii) (k+1)x+(2k-1)y=4k+1

We know that,

For infinite solutions :

a1/a2 = b1/b2 = c1/c2

From the above equations :

a1 = 2 a2 = 3 a3 = 7

b1 = k + 1 b2 = 2k - 1 b3 = 4k + 1

2/K+1 = 3/2k-1 = 7/4k+1

2/k + 1 = 3/2k - 1

4k - 2 = 3k + 3

k = 5

Therefore, the value of k is 5.