已知x/2=y/4=z/7,求①x:y:z.②若2x+y+3z=58,分别求x,y,z的值.③求x+y/x+z的值.

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/28 22:02:28
已知x/2=y/4=z/7,求①x:y:z.②若2x+y+3z=58,分别求x,y,z的值.③求x+y/x+z的值.

已知x/2=y/4=z/7,求①x:y:z.②若2x+y+3z=58,分别求x,y,z的值.③求x+y/x+z的值.
已知x/2=y/4=z/7,求①x:y:z.②若2x+y+3z=58,分别求x,y,z的值.③求x+y/x+z的值.

已知x/2=y/4=z/7,求①x:y:z.②若2x+y+3z=58,分别求x,y,z的值.③求x+y/x+z的值.
①令x/2=y/4=z/7=k
所以x=2k,y=4k,z=7k
所以x:y:z=2:4:7
②2x+y+3z=58
即4k+4k+21k=58
29k=58
k=2
x=2k=4
y=4k=8
z=7k=14
③(x+y)/(x+z)
=(2k+4k)/(2k+7k)
=6/9
=2/3

已知x/2=y/4=z/7
则x:y:z=2:4:7
将x\y\x比值带入方程2中,设单位值为K
4K+4K+21K=58
K=2
则x=4
y=8
z=14

x+y/x+z
=(2k+4k)/(2k+7k)
=2/3