高手帮忙解6道三元一次方程
高手帮忙解6道三元一次方程
(1)3x-y+z=3 2x+y-3z=11 x+y+z=12
(2)4x+y-z=12 3x+2y+z=5 x-y+5z=1
(3)2x+7y=3 3x-z=1 -y+3z=4
(4)x+y=3 2x-y+2z=2 x-y-z=3
(5)x-2y-3z+18=0 x+3y-2z-8=0 x+y+2z-24=0
(6)x=2y 2x+y+2z=1 2x-z=7
(1)3x-y+z=3
2x+y-3z=11
5x+4z=14
3x-y+z=3
x+y+z=12
4x+2z=15
8x+4z=30
3x=16,x=16/3,z=(15-64/3)/2=-19/6
y=12-16/3+19/6=(72-32+19)/6=59/6
(2)8x+2y-2z=24
3x+2y+z=5
5x-3z=19
3x+2y+z=5
2x-2y+10z=2
5x+11z=7
5x-3z=19
14z=-12,z=-6/7,5x=19+18/7=151/7,x=151/35
y=x+5z-1=151/35-150/35-1=-34/35
(3)
z=3x-1,y=3z-4=9x-3-4=9x-7
2x+63x-49=3,65x=46
倒
(4)
x+y=3 2x-y+2z=2 x-y-z=3
y=3-x,x-3+x-z=3,z=2x-6
2x-3+x+4x-12=2,7x=15+2=17,
再倒一次
(5)
x-2y-3z=-18 x+3y-2z-8=0 x+y+2z-24=0
x+y+2z=24
3y+5z=42
x+3y-2z=8
x+y+2z=24
-2y+4z=16
6y+10z=84
-6y+12z=48
22z=132,z=6,3y=42-30,y=4
x=24-4-12=8
这题还可以
(6)
x=2y 2x+y+2z=1 2x-z=7
z=2x-7,y=x/2
4x-14+2x+x/2=1
13x/2=15,x=30/13,晕
y=15/13
z=60/13-7=-31/13
真是练功夫啊,对不起啦,