Find the solution of homogeneous system of equations: `x -2y +z =0; x + y = z` and `3x + 6y = 5z`

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

Find the solution of given system of equations: 3x+4y+5z=38, 2x-y+8z=33, 4x+3y+2z=25

Solve the following systems of homogenous equations : {:(x+y - z = 0),(x - 2 y + z = 0),(3x + 6y - 5z = 0):}

Find the nature of solution for the given system of equation: x+2y+3z=1;2x+3y+4z=3;3x+4y+5z=0

Find the nature of solution for the given system of equation: x+2y+3z=1;2x+3y+4z=3;3x+4y+5z=0

Find the nature of solution for the given system of equation: x+2y+3z=1;2x+3y+4z=3;3x+4y+5z=0

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

Solve the following system of homogeneous equations: x+y-z=0 x-2y+z=0 3x+6y-5z=0