The number of solutions of equations `x + y - z=0, 3x - y - z= 0,x - 3y + z = 0` is

The number of solutions of the equation.3x+3y-z=5,x+y+z=3,2x+2y-z=3

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

Show that the homogenous system of equations x - 2y + z = 0, x + y - z = 0, 3 x + 6y - 5z = 0 has a non-trivial solution. Also find the solution

What should be the value of k so that the system of linear equations x - y + 2z = 0, kx - y + z = 0, 3x + y - 3z = 0 does not possess a unique solution ?

What should be the value of k so that the system of linear equations x - y + 2z = 0, kx - y + z = 0, 3x + y - 3z = 0 does not possess a unique solution ?

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

Write the number of solution of the following system of equation. x+4y-z=0 3x-4y-z=0 x-3y+z=0