The number of non-trivial solutions of the system `x=y+z=0, x+2y-z=0, 2x+y+3z=0`, is

The number of non trivial solutions of the system x-y+2=0,x+2y-z=0,2x+y+3z=0

The number of solutions of the system of equations: 2x+y-z=7,\ \ x-3y+2z=1,\ \ x+4y-3z=5 is (a) 3 (b) 2 (c) 1 (d) 0

The number of solutions of the system of equations: 2x+y-z=7x-3y+2z=1, is x+4y-3z=53(b)2 (c) 1 (d) 0

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

For what value of k, does the following system of equations possess a non-trivial solution over the set of rationals x+y-2z=0, 2x-3y+z=0 and x-5y+4z=k. Find all the solutions.

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