Find all integer solutions of the system: `35x + 63y + 45z=1`,` |x| < 9,|y|lt5,|z|<7`

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

Find all integers lambda for which the system of equations x+2y - 3z = 1,2x - lambday - 3z = 2x+2y + lambda z = 3 has a unique solution.

The number of non-negative integer solutions of the equations 6x+4y+z=200 and x+y+z=100 is

The number of integers solutions for the equation x+y+z+t=20 , where x,y,z t are all ge-1 , is

The number of integers solutions for the equation x+y+z+t=20 , where x,y,z t are all ge-1 , is

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

Write the number of solution of the following system of equation. x+y+z=1 x+y+z=2 2x+3y+z=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