If the system of linear equations
2x+2y+3z=a
3x-y+5z=b
x-3y+2z=c
where a,b and c are non-zero real numbers, has more than one solution, then

If the system of linear equations 2x + 2y +3z =a 3x - y +5z =b x- 3y +2z =c where a, b, c are non-zero real numbers, has more than one solution, then

Given the system of equation a(x+y+z)=x, b(x+y+z)=y, c(x+y+z)= z where a,b,c are non-zero real numbers.If the real numbers are such that xyz!=0 ,then (a+b+c) is equal to

Consider the system of equation x+2y-3z=a , 2x+6y-11z=b , x-2y+7c then

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

If the system of linear equations x + y + 3z = 0 x + 3y + k^2 z = 0 3x + y + 3z = 0 has a non -zero solution (x, y, -z) for some k in R then x + (y/z) is equal to :

If the system of linear equations x+2y+3z=lambda x, 3x+y+2z=lambday , 2x+3y+z=lambdaz has non trivial solution then lambda=

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

If the system of linear equations x+ky+3z=0 3x+ky-2z=0 2x+4y-3z=0 has a non-zero solution (x,y,z) then (xz)/(y^2) is equal to