已知x:y:z=2:3:4,且3x+2y+z= —32,求x+2y+3z的值
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已知x:y:z=2:3:4,且3x+2y+z=—32,求x+2y+3z的值已知x:y:z=2:3:4,且3x+2y+z=—32,求x+2y+3z的值已知x:y:z=2:3:4,且3x+2y+z=—32
已知x:y:z=2:3:4,且3x+2y+z= —32,求x+2y+3z的值
已知x:y:z=2:3:4,且3x+2y+z= —32,求x+2y+3z的值
已知x:y:z=2:3:4,且3x+2y+z= —32,求x+2y+3z的值
设x=2k,y=3k,z=4k
因为3x+2y+z= —32,
所以6k+6k+4k=-32,16k=-32,k=-2
所以x=-4,y=-6,z=-8
所以x+2y+3z=-4-12-24=-40
x:y:z=2:3:4
设x=2k,则y=3k,z=4k
∵3x+2y+z= —32
∴6k+6k+4k=-32
k=-2
x+2y+3z=2k+6k+12k=20k=-40
设x,y,z为2k.3k.4k
则3x+2y+z=6k+6k+4k= —32
则k=-2
∴x+2y+3z=-40
因为x:y:z=2:3:4,可以设x=2d,以此类推y=3d,z=4d,所以,3x+2y+z=6d+6d+4d=16d= - 32,所以d= -2;
所以x+2y+3z=2d+6d+12d=20d= -40;
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