解方程组2x-3y+z=0,x-2y+3z=0(z不等于0)

问题描述:

解方程组2x-3y+z=0,x-2y+3z=0(z不等于0)

x-2y+3z=0两边同时乘于2 =>2x-4y+6z=02x-4y+6z=0与2x-3y+z=0相减 =>y=5z2x-3y+z=0两边同时乘于2 =>4x-6y+2z=0,x-2y+3z=0两边同时乘于3 =>3x-6y+9z=04x-6y+2z=0与3x-6y+9z=0相减 =>x=7z所以x:y:z=7:5:1因此任何合乎x:...