x-2y+3z=0,3x+2y+5z=12,2x-4y-z=(-9)

问题描述:

x-2y+3z=0,3x+2y+5z=12,2x-4y-z=(-9)

x-2y+3z=0 (1)
3x+2y+5z=12 (2)
2x-4y-z=(-9) (3)
(1)式+(3)式得:
3x-6y+2z=-9 (4)
(2)式-(4)式得:
8y+3z=21 (5)
(1)式乘以3得:
3x-6y+9z=0 (6)
(2)式- (6)式得:
8y-4z=12 (7)
(5)式 -(7)式得:
7z=9,z=9/7;
代入(7):8y-36/7=12;
y=15/7;
把z=9/7;y=15/7;代入(1)
x-30/7+27/7=0
x=3/7;
所以解为:
x=3/7;
y=15/7;
z=9/7