4x+6y+z=200有几种情况，一一列出

4x+6y+z=200有几种情况，一一列出

4x+6y+z=200可以表示三维空间的一个平面；
如果x y z均是正整数的话，可以编程算一下：
程序（C语言）：

#include
main()
{int x,y,z;
for(x=0;x<=50;x++)
{for(y=0;y<=34;y++)
{for(z=0;z<=200;z++)
{if(4*x+6*y+z==200)
printf("x=%d,y=%d,z=%d\n",x,y,z);}
}
}
}

结果：
x=21,y=11,z=50
x=21,y=12,z=44
x=21,y=13,z=38
x=21,y=14,z=32
x=21,y=15,z=26
x=21,y=16,z=20
x=21,y=17,z=14
x=21,y=18,z=8
x=21,y=19,z=2
x=22,y=0,z=112
x=22,y=1,z=106
x=22,y=2,z=100
x=22,y=3,z=94
x=22,y=4,z=88
x=22,y=5,z=82
x=22,y=6,z=76
x=22,y=7,z=70
x=22,y=8,z=64
x=22,y=9,z=58
x=22,y=10,z=52
x=22,y=11,z=46
x=22,y=12,z=40
x=22,y=13,z=34
x=22,y=14,z=28
x=22,y=15,z=22
x=22,y=16,z=16
x=22,y=17,z=10
x=22,y=18,z=4
x=23,y=0,z=108
x=23,y=1,z=102
x=23,y=2,z=96
x=23,y=3,z=90
x=23,y=4,z=84
x=23,y=5,z=78
x=23,y=6,z=72
x=23,y=7,z=66
x=23,y=8,z=60
x=23,y=9,z=54
x=23,y=10,z=48
x=23,y=11,z=42
x=23,y=12,z=36
x=23,y=13,z=30
x=23,y=14,z=24
x=23,y=15,z=18
x=23,y=16,z=12
x=23,y=17,z=6
x=23,y=18,z=0
x=24,y=0,z=104
x=24,y=1,z=98
x=24,y=2,z=92
x=24,y=3,z=86
x=24,y=4,z=80
x=24,y=5,z=74
x=24,y=6,z=68
x=24,y=7,z=62
x=24,y=8,z=56
x=24,y=9,z=50
x=24,y=10,z=44
x=24,y=11,z=38
x=24,y=12,z=32
x=24,y=13,z=26
x=24,y=14,z=20
x=24,y=15,z=14
x=24,y=16,z=8
x=24,y=17,z=2
x=25,y=0,z=100
x=25,y=1,z=94
x=25,y=2,z=88
x=25,y=3,z=82
x=25,y=4,z=76
x=25,y=5,z=70
x=25,y=6,z=64
x=25,y=7,z=58
x=25,y=8,z=52
x=25,y=9,z=46
x=25,y=10,z=40
x=25,y=11,z=34
x=25,y=12,z=28
x=25,y=13,z=22
x=25,y=14,z=16
x=25,y=15,z=10
x=25,y=16,z=4
x=26,y=0,z=96
x=26,y=1,z=90
x=26,y=2,z=84
x=26,y=3,z=78
x=26,y=4,z=72
x=26,y=5,z=66
x=26,y=6,z=60
x=26,y=7,z=54
x=26,y=8,z=48
x=26,y=9,z=42
x=26,y=10,z=36
x=26,y=11,z=30
x=26,y=12,z=24
x=26,y=13,z=18
x=26,y=14,z=12
x=26,y=15,z=6
x=26,y=16,z=0
x=27,y=0,z=92
x=27,y=1,z=86
x=27,y=2,z=80
x=27,y=3,z=74
x=27,y=4,z=68
x=27,y=5,z=62
x=27,y=6,z=56
x=27,y=7,z=50
x=27,y=8,z=44
x=27,y=9,z=38
x=27,y=10,z=32
x=27,y=11,z=26
x=27,y=12,z=20
x=27,y=13,z=14
x=27,y=14,z=8
x=27,y=15,z=2
x=28,y=0,z=88
x=28,y=1,z=82
x=28,y=2,z=76
x=28,y=3,z=70
x=28,y=4,z=64
x=28,y=5,z=58
x=28,y=6,z=52
x=28,y=7,z=46
x=28,y=8,z=40
x=28,y=9,z=34
x=28,y=10,z=28
x=28,y=11,z=22
x=28,y=12,z=16
x=28,y=13,z=10
x=28,y=14,z=4
x=29,y=0,z=84
x=29,y=1,z=78
x=29,y=2,z=72
x=29,y=3,z=66
x=29,y=4,z=60
x=29,y=5,z=54
x=29,y=6,z=48
x=29,y=7,z=42
x=29,y=8,z=36
x=29,y=9,z=30
x=29,y=10,z=24
x=29,y=11,z=18
x=29,y=12,z=12
x=29,y=13,z=6
x=29,y=14,z=0
x=30,y=0,z=80
x=30,y=1,z=74
x=30,y=2,z=68
x=30,y=3,z=62
x=30,y=4,z=56
x=30,y=5,z=50
x=30,y=6,z=44
x=30,y=7,z=38
x=30,y=8,z=32
x=30,y=9,z=26
x=30,y=10,z=20
x=30,y=11,z=14
x=30,y=12,z=8
x=30,y=13,z=2
x=31,y=0,z=76
x=31,y=1,z=70
x=31,y=2,z=64
x=31,y=3,z=58
x=31,y=4,z=52
x=31,y=5,z=46
x=31,y=6,z=40
x=31,y=7,z=34
x=31,y=8,z=28
x=31,y=9,z=22
x=31,y=10,z=16
x=31,y=11,z=10
x=31,y=12,z=4
x=32,y=0,z=72
x=32,y=1,z=66
x=32,y=2,z=60
x=32,y=3,z=54
x=32,y=4,z=48
x=32,y=5,z=42
x=32,y=6,z=36
x=32,y=7,z=30
x=32,y=8,z=24
x=32,y=9,z=18
x=32,y=10,z=12
x=32,y=11,z=6
x=32,y=12,z=0
x=33,y=0,z=68
x=33,y=1,z=62
x=33,y=2,z=56
x=33,y=3,z=50
x=33,y=4,z=44
x=33,y=5,z=38
x=33,y=6,z=32
x=33,y=7,z=26
x=33,y=8,z=20
x=33,y=9,z=14
x=33,y=10,z=8
x=33,y=11,z=2
x=34,y=0,z=64
x=34,y=1,z=58
x=34,y=2,z=52
x=34,y=3,z=46
x=34,y=4,z=40
x=34,y=5,z=34
x=34,y=6,z=28
x=34,y=7,z=22
x=34,y=8,z=16
x=34,y=9,z=10
x=34,y=10,z=4
x=35,y=0,z=60
x=35,y=1,z=54
x=35,y=2,z=48
x=35,y=3,z=42
x=35,y=4,z=36
x=35,y=5,z=30
x=35,y=6,z=24
x=35,y=7,z=18
x=35,y=8,z=12
x=35,y=9,z=6
x=35,y=10,z=0
x=36,y=0,z=56
x=36,y=1,z=50
x=36,y=2,z=44
x=36,y=3,z=38
x=36,y=4,z=32
x=36,y=5,z=26
x=36,y=6,z=20
x=36,y=7,z=14
x=36,y=8,z=8
x=36,y=9,z=2
x=37,y=0,z=52
x=37,y=1,z=46
x=37,y=2,z=40
x=37,y=3,z=34
x=37,y=4,z=28
x=37,y=5,z=22
x=37,y=6,z=16
x=37,y=7,z=10
x=37,y=8,z=4
x=38,y=0,z=48
x=38,y=1,z=42
x=38,y=2,z=36
x=38,y=3,z=30
x=38,y=4,z=24
x=38,y=5,z=18
x=38,y=6,z=12
x=38,y=7,z=6
x=38,y=8,z=0
x=39,y=0,z=44
x=39,y=1,z=38
x=39,y=2,z=32
x=39,y=3,z=26
x=39,y=4,z=20
x=39,y=5,z=14
x=39,y=6,z=8
x=39,y=7,z=2
x=40,y=0,z=40
x=40,y=1,z=34
x=40,y=2,z=28
x=40,y=3,z=22
x=40,y=4,z=16
x=40,y=5,z=10
x=40,y=6,z=4
x=41,y=0,z=36
x=41,y=1,z=30
x=41,y=2,z=24
x=41,y=3,z=18
x=41,y=4,z=12
x=41,y=5,z=6
x=41,y=6,z=0
x=42,y=0,z=32
x=42,y=1,z=26
x=42,y=2,z=20
x=42,y=3,z=14
x=42,y=4,z=8
x=42,y=5,z=2
x=43,y=0,z=28
x=43,y=1,z=22
x=43,y=2,z=16
x=43,y=3,z=10
x=43,y=4,z=4
x=44,y=0,z=24
x=44,y=1,z=18
x=44,y=2,z=12
x=44,y=3,z=6
x=44,y=4,z=0
x=45,y=0,z=20
x=45,y=1,z=14
x=45,y=2,z=8
x=45,y=3,z=2
x=46,y=0,z=16
x=46,y=1,z=10
x=46,y=2,z=4
x=47,y=0,z=12
x=47,y=1,z=6
x=47,y=2,z=0
x=48,y=0,z=8
x=48,y=1,z=2
x=49,y=0,z=4
x=50,y=0,z=0

这题目太宽泛了。。。你起码说一下XYZ是不是正整数。。。追问正整数了

一一列举
X=1情况下
1、y=1，z=?
2、y=2，z=？
3、y=3，z=？
.......
n、y=n，z=
X=2情况下
1、y=1，z=?
2、y=2，z=？
3、y=3，z=？
以此类推