若x:y:z=3:5:7,3x+2y-4z=9,则x+y+z的值为( ).A.-3 B.-5 C.-7 D.-15

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/15 03:27:01
若x:y:z=3:5:7,3x+2y-4z=9,则x+y+z的值为( ).A.-3 B.-5 C.-7 D.-15

若x:y:z=3:5:7,3x+2y-4z=9,则x+y+z的值为( ).A.-3 B.-5 C.-7 D.-15
若x:y:z=3:5:7,3x+2y-4z=9,则x+y+z的值为( ).A.-3 B.-5 C.-7 D.-15

若x:y:z=3:5:7,3x+2y-4z=9,则x+y+z的值为( ).A.-3 B.-5 C.-7 D.-15
x:y:z=3:5:7
设x=3k
y=5k
z=7k
3x+2y-4z=9
=3*3k+2*5k-4*7k=9
=9k+10k-28k=9
=-9k=9
k=-1
x+y+z=3k+5k+7k=15k=-15
选D

D

设x:y:z=3:5:7=k
所以x=3k
y=5k
z=7k
3x+2y-4z=9
=3*3k+2*5k-4*7k=9
=9k+10k-28k=9
=-9k=9
k=-1
x+y+z=3k+5k+7k=15k=-15
故选D

设X=3A Y=5A Z=7A
3(3A)+2(5A)-4(7A)=9
A=-1
X=-3 Y=-5 Z=-7
X+Y+Z=-15

选D