解方程组:x+2y+3z=62x+3y+z=63x+y+2z=6.

问题描述:

解方程组:

x+2y+3z=6
2x+3y+z=6
3x+y+2z=6

x+2y+3z=6①2x+3y+z=6②3x+y+2z=6③,①+②+③得6x+6y+6z=18,所以x+y+z=3④,②-①得x+y-2z=0⑤,④-⑤得3z=3,解得z=1,③-①得2x-y-z=0⑥,④+⑥得3x=3,解得x=1,把x=1,z=1代入④得1+y+1=3,解得y=1,所以原...