2x+3y+z=1 x+y+z=-2 3x-2y-z=-4 求x、y、z
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2x+3y+z=1 x+y+z=-2 3x-2y-z=-4 求x、y、z
2x+3y+z=1 x+y+z=-2 3x-2y-z=-4 求x、y、z
2x+3y+z=1 x+y+z=-2 3x-2y-z=-4 求x、y、z
2x+3y+z=1 ……(1)
x+y+z=-2 ……(2)
3x-2y-z=-4……(3)
(1)-(2)
x+2y=3……(4)
(2)+(3)
4x-y=-6……(5)
(4)*4-(5)
9y=18 y=2
代入(4)得到x+4=3 x=-1
代入(1)得到 -2+6+z=1 z=-3
所列三个等式分别用式一,式二,式三代表
式一减去式二得:x+2y=3
式二加式三得:4x-y=-6
解得x=-1,y=2,代入式二得
z=-3
1.2x+3y+z=1 2. x+y+z=-2 3. 3x-2y-z=-4
由1和2 得 x+2y=3
由1和3得 5x+y=-3
再解得 x=-1 y=2 z=-3
X=-1
Y=2
Z=-3
Z=-X-Y-2 代入另外的两个方程得 2X+3Y-X-Y-2=1 3X-2Y+X+Y+2=-4 联立方程二元一次方程的X=-1 Y=2 Z=-3
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