两道方程组的解答,求解答过程与答案,请数学高手帮帮忙,在线等待

2025-04-07 23:55:52
推荐回答(2个)
回答1:

(1) x+2y-z=1 ①
3x-3y+z=2 ②
2x+3y+z=7 ③

①+②: 4x-y = 3 ④
②-③: x-6y= -5 ⑤
由④、⑤ 解得
把x=1 y=1 带入①解得:z=2

(2)x:y:z=3:4:5
x+2y+z=48

设x=3k y=4k z=5k
带入x+2y+z=48 得 3k+8k+5k=48
即16k=48
所以k=3
所以x=9 y=12 z=15

够详细吧

回答2:

1、(x+2y-z)+(3x-3y+z)=1+2
4x-y=3
y=4x-3
(3x-3y+z)-(2x+3y+z)=2-7
x-6y=-5
x-6(4x-3)=-5
x=1,y=4*1-3=1,z=x+2y-1=1+2*1-1=2
2、因为x:y:z=3:4:5所以设x=3a,y=4a,z=5a
3a+2*4a+5a=48
a=3
所以x=9,y=12,z=15

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