已知方程组3x+7y+z=5;4x+10y+z=6,求x+y+z的值
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已知方程组3x+7y+z=5;4x+10y+z=6,求x+y+z的值
![已知方程组3x+7y+z=5;4x+10y+z=6,求x+y+z的值](/uploads/image/z/780204-12-4.jpg?t=%E5%B7%B2%E7%9F%A5%E6%96%B9%E7%A8%8B%E7%BB%843x%2B7y%2Bz%3D5%EF%BC%9B4x%2B10y%2Bz%3D6%2C%E6%B1%82x%2By%2Bz%E7%9A%84%E5%80%BC)
3x+7y+z=5.➀
4x+10y+z=6.➁
➁-➀,得
x+3y=1.➂
➂乘以3,得
3x+9y=3.➃
➁-➃,得
x+y+z=6-3=3
4x+10y+z=6.➁
➁-➀,得
x+3y=1.➂
➂乘以3,得
3x+9y=3.➃
➁-➃,得
x+y+z=6-3=3
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