The system of equations `-2x+y+z=a` `x-2y+z=b` `x+y-2z=c` has

The system of equations -2x+y+z=a,x-2y+z=b,x+y-2z=c is consistent if

The System of equation -2x-y+z=a,x-2y+z=b,x+y-2z=c is inconsistent if

If the system of equations x - 2y +z = a , 2x + y - 2z = b, x +3y - 3z = c, has at least one solution, then a) a + b + c = 0 b) a - b + c = 0 c) -a + b + c = 0 d) a + b - c = 0

The system of equations x +2y+3z=1, x-y+4z=0, 2x+y+7z=1 has

If the system of equation 2x+y+z=3 , x-y+z=-1 and x+y+az=b has no solution , then

The number of solutions of the system of equations: 2x+y-z=7,\ \ x-3y+2z=1,\ \ x+4y-3z=5 is (a) 3 (b) 2 (c) 1 (d) 0

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