三元一次方程组

2025-12-16 19:08:29
推荐回答(2个)
回答1:

1.
X-Y=7 (1)
Y-Z=15 (2)
2Z+X=47 (3)
(1)+(2)
x-z=22(4)
(3)-(4)
3z=25
z=25/3
x=91/3
y=70/3

2.
2X+4Y+3Z=9 (1)
3X-2Y+5Z=6 (2)
5X+Y+7Z=13 (3)

(1)+(2)*2
8x+13z=21 (4)
(2)+3(*2)
13x+19z=32 (5)
(4)(5)得
x=1 z=1
y=1

3.
X∶Y=2∶3 (1)
Y∶Z=3∶7 (2)
X+Y+Z=24 (3)

由(1) x=2/3y (4)
由(2) z=7/3y (5)
(4)(5)代入(3)
2/3y+y+7/3y=24
y=6
x=4
z=14

回答2: