xyz可以满足5x+3y+2z=24,6x+4y+z=28,求x,y,z,xyz可以满足5x+3y+2z=24和6x+4y+z=28,求x,y,z,

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xyz可以满足5x+3y+2z=24,6x+4y+z=28,求x,y,z,xyz可以满足5x+3y+2z=24和6x+4y+z=28,求x,y,z,
xyz可以满足5x+3y+2z=24,6x+4y+z=28,求x,y,z,
xyz可以满足5x+3y+2z=24和6x+4y+z=28,求x,y,z,

xyz可以满足5x+3y+2z=24,6x+4y+z=28,求x,y,z,xyz可以满足5x+3y+2z=24和6x+4y+z=28,求x,y,z,
如果未知数是正整数则有
5x + 3y + 2z = 34 .(1)
6x + 4y + z = 28 .(2)
(1) - (2)
z = 6 + x + y .代入(2)分别得到
7x + 5y = 22
5y = 22 - 7x
= 5*(4 - x) + 2*(1 - x)
x = 1
y = 3
z = 10

5x + 3y + 2z = 34 ...............(1)
6x + 4y + z = 28 .................(2)
(1) - (2)
z = 6 + x + y ....代入(2)可以分别得到
7x + 5y = 22
5y = 22 - 7x
= 5*(4 - x) + 2*(1 - x)
所以x = 1 y = 3 z = 10