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

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

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

If x =a, y=b, z=c is a solution of the system of linear equations x + 8y + 7z =0, 9 x + 2y + 3z =0, x + y+z=0 such that point (a,b,c ) lies on the plane x + 2y + z=6, then 2a+ b+c equals

The solution of the system of equations is x-y+2z=1,2y-3z=1 and 3x-2y+4y=2 is

Examine the consistency of the system of equations 5x -y + 4z = 5," " 2x + 3y + 5z = 2," " 5x -2y + 6z = 1

The linear system of equations 8x-3y-5z=0,5x-8y+3z=0 and 3x+5y-8z=0

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