The simultaneous equations `Kx+2y-z=1, (K-1)y-2z=2` and `(K+2)z=3` have only one solution, when

The system of equations (a+1)x+2y-z=1, ay-2z=2 and (a+2)z=3 have only one solution then a=

The system of equations (a+1)x+2y-z=1,ay -2z=2 and (a+2)z=3 have only one solution then a=

The system of simulataneous equations kx + 2y -z = 1 (k -1) y -2z = 2 (k +2) z = 3 have a unique solution if k equals

if the system of equations x+y+z=0 , x+3y+k^2z=0 and x+2y+z=0 have a non zero solution then value of y+(x/z) is

Let the system of linear equations 2x+3y-z=0,2x+ky-3z=0 and 2x-y+z=0 have non trivial solution then (x)/(y)+(y)/(z)+(z)/(x)+k will be

If the system of equations kx + y + 2z = 1 3x-y-2z = 2 -2x-2y-4z = 3 has infinitely many solutions, then k is equal to ________.

If the system of equation {:(,x-2y+z=a),(2x+y-2z=b),and,(x+3y-3z=c):} have at least one solution, then

System of linear equations in x,y,z 2x+y+z=1,x-2y+z=2,3x-y +2z=3 have infinite solutions which

The equations x+y-2z=0,2x-3y-z=0,x-5y+4z=k have non-zero solutions if k=

The number of integral value(s) of k such that the system of equations kz-2y-z=x, ky-z=z+3x and 2x+kz=2y-z has non - trivial solution, is/are