For what value of `k` does the system of linear equations `2x+3y=7` and `(k-1)x + (k+2)y =3k` have an infinite number of solutions

Find the value of k for which the system of linear equations : (k - 1) x + (k + 2) y = k , 2x + 5y = 3 will have infinite number of solutions.

For how many values of k. will the system of equations (k + 1) x + 8y = 4k and kx + (k + 3) y = 3k - 1 , have an infinite number of solutions

For what values of k, does the system of linear equations x + y + z = 2, 2x + y - z = 3, 3x + 2y + kz = 4 have a unique solution ?

For what values of k, does the system of linear equations x+y+z=2, 2x+y-z=3, 3x+2y+kz=4 have a unique solution ?

For what values of k is the system of equations k x + 3y = k - 2 12 x + ky = k inconsistent ?

For which values of k, does the pair of linear equations kx+y=k^(2) and x+ky=1 have (1) no solution ? (2) infinitely many solutions? (3) a unique solution ?

2.For what value of k will the following system of linear equations have infinite number of solution.(Ans k-412x+3y-5=2;(k+2)x+(2k+1)y=2(k-1)

For what value of k will the following system of linear equations have infinite number of solution :- 2x + 3y = 2 , (k + 2)x + (2k + 1)y = 2(k - 1)

The value of k, for which the pair of linear equations k x + y = k^(2) and x + k y = 1 has infinitely many solution, is :