问题描述:
{x+y+z=6 3x-y+2z=12 x-y-3z=-4
最佳答案:
x + y + z = 6 (1)
3x - y + 2z = 12 (2)
x - y - 3z = -4 (3)
(1) + (2)得: 4x + 3z = 18 (4)
(1) + (3)得: 2x - 2z = 2 (5)
(4) - (5)×2得 7z = 14 解得: z = 2
把z = 2代入(5)得: x = (2 + 2z)/2 = (2 + 2×2)/2 = 3
把 x = 3 z = 2代入(1)得: y = 6 - x - z = 6 - 3 - 2 = 1
所以原方程组的解是 x = 3 , y = 1, z = 2