若{x+2y-4z=0}与{3x+y-z=0}的解相同,则x:y:z=[ ? ]注:做对了,加★☆100☆★

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若{x+2y-4z=0}与{3x+y-z=0}的解相同,则x:y:z=[ ? ]注:做对了,加★☆100☆★
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若{x+2y-4z=0}与{3x+y-z=0}的解相同,则x:y:z=[ ? ]注:做对了,加★☆100☆★
若{x+2y-4z=0}与{3x+y-z=0}的解相同,则x:y:z=[ ? ]注:做对了,加★☆100☆★

若{x+2y-4z=0}与{3x+y-z=0}的解相同,则x:y:z=[ ? ]注:做对了,加★☆100☆★
①x+2y-4z=0
②3x+y-z=0
①-2②
x-6x-4z+2z=0
5x=2z 代入①
z=5x/2
x+2y-10x=0
2y=9x
y=9x/2
x:y:z=1:9/2:5/2=2:9:5

{x+2y-4z=0}与{3x+y-z=0}
3x+6y-12z=0;
5y-11z=0;
y=11z/5;
x=-2z/5;
x:y:z=-2:11:5;

我想 答案 应该 好多把

x:y:z= -2:11:5

2比11比-5

①x+2y-4z=0 ②3x+y-z=0 ①-2② x-6x-4z+2z=0 5x=2z 代入①x+2y-4z=0→4z=x+2y } } →x+2y=12x+4y→11x=-2y→x:y=-2

思路:用一个未知数表示两外两个,这里先消y,用z表示x,再代入(2)用z表示x,最后约分,消去z
x+2y-4z=0 ①
3x+y-z=0 ②
①-2x②
-5x-2z=0
x=-2/5z 代入 ②
-3*2/5z+y-z=0
y=11/5z
x:y:z=-2/5z:11/5z:z=-2:11:5