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

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 ?

If the system of simultaneous linear equations x+y+z=a,x-y+bz=2, 2x+3y -z=1 has infinitely many solutions then b-5a=

If the following system of linear equations 2x + y + z = 5 x - y +z = 3 x + y + az = b has no solution, then :

The value of lambda and mu for which the system of linear equation x+y+z=2 x+2y+3z=5 x+3y+lambda z= mu has infinitely many solutions are , respectively :

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 ________.

Solve the system of Linear equations x+2y+z=8 , 2x+y-z=1 , x-y+z=2

The system of linear equations x+y+z =2, 2x+y-z=3, 3x+2y+kz= has a unique solution if

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