已知{3x-y+2z=14 4x-8y+z=7 求x+y+z的值
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已知{3x-y+2z=14 4x-8y+z=7 求x+y+z的值
![已知{3x-y+2z=14 4x-8y+z=7 求x+y+z的值](/uploads/image/z/18878722-34-2.jpg?t=%E5%B7%B2%E7%9F%A5%EF%BD%9B3x-y%2B2z%3D14+4x-8y%2Bz%3D7+%E6%B1%82x%2By%2Bz%E7%9A%84%E5%80%BC)
3x-y+2z=14 ①
4x-8y+z=7 ②
∴①-2×②得 -5x+15y=0,即 x-3y=0 ③
∴x=3y代入②,得
4y+z=7 ④
∴③+④得 x+y+z=7
4x-8y+z=7 ②
∴①-2×②得 -5x+15y=0,即 x-3y=0 ③
∴x=3y代入②,得
4y+z=7 ④
∴③+④得 x+y+z=7
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