Question

9) For what value of k will the following pair of the following
many solutions.
2x+3y=7, (k-1)x+(k+2)y=3k​

Answer 1

Answer:

condition for infinite many solution

a1/a2 = b1/b2= c1/c2

2/(k-1) = 3/(k+2) = -7/-3k

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

use cross product

3k -3= 2k + 4

3k -2k = 4+3

k = 7