已知2x+5y+4z=15,7x+y+3z=14,求4x+y+2z的值

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已知2x+5y+4z=15,7x+y+3z=14,求4x+y+2z的值已知2x+5y+4z=15,7x+y+3z=14,求4x+y+2z的值已知2x+5y+4z=15,7x+y+3z=14,求4x+y

已知2x+5y+4z=15,7x+y+3z=14,求4x+y+2z的值
已知2x+5y+4z=15,7x+y+3z=14,求4x+y+2z的值

已知2x+5y+4z=15,7x+y+3z=14,求4x+y+2z的值
2x+5y+4z=15,.(1)
7x+y+3z=14.(2)
(2)*4-(1)*3,得
22x-11y=11
2x-y=1
y=2x-1
(2)*5-(1),得
33x+11z=55
3x+z=5
z=5-3x
所以
4x+y+2z
=4x+(2x-1)+2(5-3x)
=4x+2x-1+10-6x
=9

2x+5y+4z=15,(1);7x+y+3z=14,(2);由(1)+(2)*6得:(2+7*6)x+(5+6)y+(4+3*6)=15+16*6,即44x+11y+22z=99,化简得:4x+y+2z=9

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