If the system of equations `x+y+z=6, x+2y+lamdaz=0, x+2y+3z=10` has no solution then `lamda=`

If the system of equation x+y=6,x+2y+lamdaz=0, x+2y+3z=0 has no solution then lamda=

If the system of equations x+y+z=6, x+2y+kz=0 and x+2y+3z=10 has no solution, then the value of k is -

If the system of equations x+y+z=6, x+2y+lambdaz=10 and x+2y+3z=mu has infinite solutions, then the value of lambda+2mu is equal to

If the system of equations x+y+z=6, x+2y+lambdaz=10 and x+2y+3z=mu has infinite solutions, then the value of lambda+2mu is equal to

The system of equations 3x-2y+z=0,lambda x-14y+15z=0,x+2y-3z=0 has non- zero solution then lambda=

If the system of equation 3x-2y+z=0, lamda-14y=15z=0,x+2y+3z=0 has non trivial solutioin, then lamda=

The system of equations x-2y+3z=5, 2x-2y+z=0, -x+2y-3z=6 has

If the system of equations 3x-2y+z=0, lamdax-14y+15z=0,x+2y-3z=0 have non zero solution zero lamda=

The system of equations x+y+z=6, x+2y+3z=14, x+4y=7z=30 has