已知4x-3y-6z=0,x+2y-7z=0,且x,y,z都不为零.求(3x+2y+z)/(x+2y+3z)的值.{x+y=90{40%x+78%y=60%*95

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/03 08:20:57
已知4x-3y-6z=0,x+2y-7z=0,且x,y,z都不为零.求(3x+2y+z)/(x+2y+3z)的值.{x+y=90{40%x+78%y=60%*95

已知4x-3y-6z=0,x+2y-7z=0,且x,y,z都不为零.求(3x+2y+z)/(x+2y+3z)的值.{x+y=90{40%x+78%y=60%*95
已知4x-3y-6z=0,x+2y-7z=0,且x,y,z都不为零.求(3x+2y+z)/(x+2y+3z)的值.
{x+y=90
{40%x+78%y=60%*95

已知4x-3y-6z=0,x+2y-7z=0,且x,y,z都不为零.求(3x+2y+z)/(x+2y+3z)的值.{x+y=90{40%x+78%y=60%*95
4x-3y-6z=0 (1)
x+2y-7z=0 (2)
(2)×4-(1)得
11y-22z=0
y=2z
把y=2z代入(2)得
x=3z
∴x=3z
y=2z
把x=3z,y=2z代入3x+2y+z)/(x+2y+3z)得
原式
=(9z+4z+z)/(3z+4z+3z)
=7/5
x+y=90
40%x+78%y=60%*95 (2)
由(2)得
20x+39y=30×95 (3)
(3)-(1)×20得
19y=1050
y=1050/19
把y=1050/19代入(1)得
x=660/19

4x-3y-6z=0与x+2y-7z=0连力方程组解得x=3z y=2z
代入(3x+2y+z)/(x+2y+3z) 代入得(3*3z+2*2z+z)/(3z+2*2z+3z)
解得为得7/5
下面的x+y=90
0.4x+0.78y=57
4x+7.8y=570
4x+4y=360
3.8y=210
y=2100/38=1050/19
x=660/19

4x-3y-6z=0
x+2y-7z=0
将Z看成常数解此二一次方程组可得:
Y=2Z
X=3Z
再代入:
(3x+2y+z)/(x+2y+3z)
=(3*3Z+2*2Z+z)/(3Z+2*2Z+3z)
=14Z/10Z
=7/5
-----------------------------------
{x+y...

全部展开

4x-3y-6z=0
x+2y-7z=0
将Z看成常数解此二一次方程组可得:
Y=2Z
X=3Z
再代入:
(3x+2y+z)/(x+2y+3z)
=(3*3Z+2*2Z+z)/(3Z+2*2Z+3z)
=14Z/10Z
=7/5
-----------------------------------
{x+y=90
{40%x+78%y=60%*95
化简:
{x+y=90
{40x+78y=60*95
Y=55.3
X=34.7

收起