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=144x-8y+z=7求x+y+z的值已知{3x-y+2z=144x-8y+z=7求x+y+z的值已知{3x-y+2z=144x-8y+z=7求x+y+z的值3x-y+2z=14
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
已知{3x-y+2z=14 4x-8y+z=7 求x+y+z的值
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
因为:3x-y+2z=14,4x-8y+z=7,
所以:3(x+y+z)-(4y+z)=14,4(x+y+z)-3(4y+z)=7
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