已知xyz满足|3x-2y+z|+|2x+y+2z|=0(xyz不等于o)求x+y除以z
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![已知xyz满足|3x-2y+z|+|2x+y+2z|=0(xyz不等于o)求x+y除以z](/uploads/image/z/319128-24-8.jpg?t=%E5%B7%B2%E7%9F%A5xyz%E6%BB%A1%E8%B6%B3%7C3x-2y%2Bz%7C%2B%7C2x%2By%2B2z%7C%3D0%EF%BC%88xyz%E4%B8%8D%E7%AD%89%E4%BA%8Eo%EF%BC%89%E6%B1%82x%2By%E9%99%A4%E4%BB%A5z)
已知xyz满足|3x-2y+z|+|2x+y+2z|=0(xyz不等于o)求x+y除以z
已知xyz满足|3x-2y+z|+|2x+y+2z|=0(xyz不等于o)求x+y除以z
已知xyz满足|3x-2y+z|+|2x+y+2z|=0(xyz不等于o)求x+y除以z
由|3x-2y+z|≥0,|2x+y+2z|≥0,且|3x-2y+z|+|2x+y+2z|=0,得
|3x-2y+z|=|2x+y+2z|=0
∴ 3x-2y+z=2x+y+2z=0
由3x-2y+z=2x+y+2z,得x=3y+z
3x-2y+z=0,则6x-4y+2z=0,由2x+y+2z=0,两式相减得4x-5y=0,即x=(5/4)y
∴ 3y+z=(5/4)y
∴ z=-(7/4)y
∴ (x+y)/z=(3y+z+y)/z=(3y-7/4*y+y)/(-7/4)y=(9/4*y)/(-7/4)*y=-9/7
丨3x-2y+z丨+丨2x+y+2z丨=0
丨3x-2y+z丨 丨2x+y+2z丨都大于等于0
∴3x-2y=-z 2x+y=-2z
∴x= -5z/7 y=-4z/y
∴x+y=-9z/7
∴(x+y)/z=(-9z/7)/z=-9/7
由|3x-2y+z|≥0,|2x+y+2z|≥0,且|3x-2y+z|+|2x+y+2z|=0,得
|3x-2y+z|=|2x+y+2z|=0
∴ 3x-2y+z=2x+y+2z=0
∴3x-2y=-z 2x+y=-2z
∴x= -5z/7 y=-4z/y
∴x+y=-9z/7
∴(x+y)/z
=(-9z/7)/z
=-9/7
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