只能求自然数解
3x+2y+z/3=100
9x+6y+z=300
x+y+z=100
相减
8x+5y=200
x=(200-5y)/8=25-5y/8
所以y是8的倍数
且x>=0
(200-5y)/8>=0
y<=40
所以y=0,8,16,24,32,40
x=(200-5y)/8=25,20,15,10,5,0
x+y+z=100
所以
x=25,y=0,z=75
x=20,y=8,z=72
x=15,y=16,z=69
x=10,y=24,z=66
x=5,y=32,z=63
x=0,y=40,z=60