Find the values of k for which the following system of equations has non-trivial solution. : `2x+3y-2z=0, 2x-y+3z=0, 7x+ky-z=0`

Find the value of k that the following system of linear equation has no solution (3k+1)x+3y-2=0, (k^2+1)x+(k-2)y-5=0 .

Find the values of a and b for which the following system of linear equation has infinitely many solutions. (2a-1)x-3y=5, 3x+(b-2)y=3

Find the values of a and b for which the following system of linear equation has infinitely many solutions. (a-1)x+3y=2, 6x+(1-2b)y=6

The value of a for which the system of equation 6x-y=2 , ax-2y=3 has a unique solution

For what value of p, the following system of linear equation has no solution. 2x+py=1, 3x-5y=7

Find the value of k for which the pair of linear equation kx+3y=k-2 and 12x+ky=k has no solution.

Find the solution set of the following system of in—equation. 2x-3lt0,4-5xlt0 .

For what value of p, the following system of linear equation has infintely many solution. 2x+3y=7, (p+1)x+(2p-1)y=4p+1