(1)y+3x+17=0 5y-2x+17=0 (2)x+y+z=12 x+2y+5z=22 x=4y (3)x+y+z=26 x-y=1 2x-y+z=18 (4)5x-2y=6 2y-z=-1 x-2z=18 (5)x+y-z=11 y+z-x=5 z+x-y=1 (6)a-2b-2c=-8 a+2c-1=0 a+3b-4c=1 (6)

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(1)y+3x+17=0 5y-2x+17=0 (2)x+y+z=12 x+2y+5z=22 x=4y (3)x+y+z=26 x-y=1 2x-y+z=18 (4)5x-2y=6 2y-z=-1 x-2z=18 (5)x+y-z=11 y+z-x=5 z+x-y=1 (6)a-2b-2c=-8 a+2c-1=0 a+3b-4c=1 (6)
(1)y+3x+17=0 5y-2x+17=0 (2)x+y+z=12 x+2y+5z=22 x=4y (3)x+y+z=26 x-y=1 2x-y+z=18 (4)5x-2y=6 2y-z=-1 x-2z=18 (5)x+y-z=11 y+z-x=5 z+x-y=1 (6)a-2b-2c=-8 a+2c-1=0 a+3b-4c=1 (6)

(1)y+3x+17=0 5y-2x+17=0 (2)x+y+z=12 x+2y+5z=22 x=4y (3)x+y+z=26 x-y=1 2x-y+z=18 (4)5x-2y=6 2y-z=-1 x-2z=18 (5)x+y-z=11 y+z-x=5 z+x-y=1 (6)a-2b-2c=-8 a+2c-1=0 a+3b-4c=1 (6)
(1)方程1 * 5 得 5y+15x+85=0 (3)
(3)-(2) 17x+68=0
所以x=-4
将x=-4代入1 得y=-5(2x+y+z=12 (1)
x+2y+5z=22 (2)
x=4y (3)
(3)分别代入(1)、(2)得
Z=12-5Y (4)
6Y+5Z=22 (5)
(4)代入(5)
6Y+5(12-5Z)=22
Y=2分别代入(3)、(4)得
X=4*2=8
Z=12-5*2=2
所以方程组的解是X=8;Y=2;Z=2 )(3)x+y+z=26 ⑴
x-y=1 ⑵
2x-y+z=18 ⑶
⑴+⑵:2x+z=27(4)
⑴+⑶:3x+2z=44(5)
(4)*2-(5):x=10
代入(4):z=7
代入(1)y=9!(4)5(x+2z)=5*12{5x+10z=60 5x-2y=6}相减得10z+2y=54与2y-z=-1联立得z=5,带入各方程式的x=2,y=2(5)x+y-z=11 ①
y+z-x=5 ②
z+x-y=1 ③
三式相加,得:x+y+z=17 ④
④-②得:2x=12 x=6
④-③得:2y=16 y=8
④-①得:2z=6 z=3(6)a=-5/4
b=9/4
c=9/8
算法如下
a-2b-2c=-8 A
a+2c-1=0 B
a+3b-4c=1 C
A+B=2a-2b=-7 D
2B+C=3a+3b=3即a+b=1 E
结合D,E,可算出a=-5/4,b=9/4
代入B中,得出c=9/8