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 nontrivial solutions of the system: x-y+z=0, x+2y=0, 2x+y+3z=0 is

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

Solve the system : 2x+3y-z=0, x+y+z=0, 2x+y+2z=0 .

Write the number of solution of the following system of equation.x+y-z=0 3x-y+z=0 x-3y+z=0

Solve the system of equations x-y+z=0,x+2y-z=0,2x+y+3z=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