已知x,y,z满足条件(x-2y-4)²+(2y+z)²+丨x-4y+z丨=0,求3x+y-z的值
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已知x,y,z满足条件(x-2y-4)²+(2y+z)²+丨x-4y+z丨=0,求3x+y-z的值
![已知x,y,z满足条件(x-2y-4)²+(2y+z)²+丨x-4y+z丨=0,求3x+y-z的值](/uploads/image/z/1480299-51-9.jpg?t=%E5%B7%B2%E7%9F%A5x%2Cy%2Cz%E6%BB%A1%E8%B6%B3%E6%9D%A1%E4%BB%B6%28x-2y-4%29%26sup2%3B%2B%282y%2Bz%29%26sup2%3B%2B%E4%B8%A8x-4y%2Bz%E4%B8%A8%3D0%2C%E6%B1%823x%2By-z%E7%9A%84%E5%80%BC)
根据题意得
x-2y-4=0
2y+z=0
x-4y+z=0
∴x=6
y=1
z=-2
∴3x+y-z
=18+1+2
=21
x-2y-4=0
2y+z=0
x-4y+z=0
∴x=6
y=1
z=-2
∴3x+y-z
=18+1+2
=21
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