x+y+z=51 4x+8y+5z=300 x+y+2z=67
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x+y+z=514x+8y+5z=300x+y+2z=67x+y+z=514x+8y+5z=300x+y+2z=67x+y+z=514x+8y+5z=300x+y+2z=67(3)-(1)得,z=16
x+y+z=51 4x+8y+5z=300 x+y+2z=67
x+y+z=51 4x+8y+5z=300 x+y+2z=67
x+y+z=51 4x+8y+5z=300 x+y+2z=67
(3)-(1)得,z=16
代入(1)得,x+y=35 (4)
代入(2)得,4x+8y=220 (5)
(5)-4×(4)得,4y=80
解得,y=20
代入(4)得,x+20=35
解得,x=15
所以,方程组的解为
x=15,y=20,z=16
x+y+z=51 4x+8y+5z=300 x+y+2z=67
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