`2x=3y=4z, x : y : z`

If 2x = 3y = 4z, find x:y: z.

2x-3y+5z=16, 3x+ 2y-4z= -4, x + y - 2z =- 3.

Find the equation of the plane through the line of intersection of the planes given by the equations x + 2y + 3z = 4, 2x + y - z = - 5 which is perpendicular to the plane given by the equation 5x + 3y + 6z·= - 8 .

Solve the following system of homogenous linear equations : 2x+3y+4z=0 , x+y+z=0 , 2x-y+3z=0

Solve following system of homogeneous linear equations: 2x+3y+4z=0,\ \ x+y+z=0,\ \ 2x+5y-2z=0

Solve following system of homogeneous linear equations: 2x+3y+4z=0,\ \ x+y+z=0,\ \ 2x+5y-2z=0

Solve the following system of linear equations by matrix method: 2x + 3y + 4z = 4, x - 2y - z = -2, 3x - y + z = 0