若x/4=y/3=z/4,且x+y+z=12,求2x+3y+4z写错了,是x/2=y/3=z/4

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/05 01:43:48
若x/4=y/3=z/4,且x+y+z=12,求2x+3y+4z写错了,是x/2=y/3=z/4

若x/4=y/3=z/4,且x+y+z=12,求2x+3y+4z写错了,是x/2=y/3=z/4
若x/4=y/3=z/4,且x+y+z=12,求2x+3y+4z
写错了,是x/2=y/3=z/4

若x/4=y/3=z/4,且x+y+z=12,求2x+3y+4z写错了,是x/2=y/3=z/4

设x/4=y/3=z/4=r,则x=z=4r,y=3r.
x+y+z=4r+3r+4r=11r=12
所以r=12/11
则2x+3y+4z=8r+9r+16r=33r=36

由x/4=y/3=z/4有x=z,则由x+y+z=12有2x+y=12,则2x+3y+4z=6x+3y=36.

因为x/4=y/3=z/4,所以X=Z=4/3Y
又因为x+y+z=12,所以4/3Y+Y+4/3Y=12
所以Y=36/11
所以X=Z=48/11
所以2x+3y+4z=36

通分3x=4y=3z
得x=z
∵x+y+z=12
∴2x+y=12
所以2x+3y+4z=6x+3y=36