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如果实数xyz满足关系式2x+3y-z=0和5x-2y-2z=0,求x:y:z的值?
题目详情
如果实数xyz满足关系式2x+3y-z=0和5x-2y-2z=0,求x:y:z的值?
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答案和解析
2X+3y-z=0 (1), 5X-2y-2z=0 (2);
(1)x2 -(2)得:-X+8y=0 x=8y x:y=8:1
(1)x2+(2)x3得: 19X-8z=0 19X=8z x:z=8:19
X:y:z=8:1:19
(1)x2 -(2)得:-X+8y=0 x=8y x:y=8:1
(1)x2+(2)x3得: 19X-8z=0 19X=8z x:z=8:19
X:y:z=8:1:19
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