方程组x+3y-2z=16,3x+y+4z=3,2x-5y-2z=-24
问题描述:
方程组x+3y-2z=16,3x+y+4z=3,2x-5y-2z=-24
答
x+3y-2z=16(1)
3x+y+4z=3(2)
2x-5y-2z=-24(3)
(1)-(3)
8y-x=40(4)
(1)+(2)+(3)
6x-y=-5(5)
(4)×6+(5)
48y-y=235
47y=235
y=5
代入(4)
x=5×8-40=0
x=0,y=5代入(1)
15-2z=16
2z=-1
z=-1/2
x=0
y=5