The number of non trivial solutions of the system `x-y+2=0,x+2y-z=0,2x+y+3z=0` is

The number of non-trivial solutions of the system x=y+z=0, x+2y-z=0, 2x+y+3z=0 , is

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

The number of solutions of the system of equations x+y+z = 4, 2x + 5y – 2z = 3 and x + 7y – 7z = 5, is /are a)0 b)1 c)2 d)infinite

The number of solutions of the system of equations: 2x+y-z=7x-3y+2z=1, is x+4y-3z=53(b)2 (c) 1 (d) 0

The number of solutions of the equation 3x-y-z=0 -3x+2y+z=0 -3x+z=0 such that x,y,z are non negative integers and x^(2)+y^(2)+z^(2)le81 is

Determine whether the following equations will have non-trivial solutions,if so solve them: x+3y-2z=0,2x-y+4z=0,x-11y+14z=0

If the trivial solution is the only solution of the system of equations x-ky+z=0,kx+3y-kz=0,3x+y-z=0 Then the set of all values of k is: