x:y=3:2 y:z=5:4 x+y+z=66

来源：学生作业帮助网编辑：作业帮时间：2024/06/09 14:37:08

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x:y=3:2 y:z=5:4 x+y+z=66
x:y=3:2 y:z=5:4 x+y+z=66

x:y=3:2 y:z=5:4 x+y+z=66
X:Y=3:2,x=3y/2
Y:Z=5:4,z=4y/5
所以3y/2+4y/5+y=66
解得y=20
所以x=30,z=16
所以方程组的解是
x=30
y=20
z=16

x:y=3:2
x=3/2y
y:z=5:4
z=4/5y
x+y+z=66
3/2y+y+4/5y=66
y=20
所以x=30,z=16

x:y=3:2=15;10 y:z=5:4=10;8
设x=15t,y=10t ,z=8t
x+y+z=66
33t=66
t=2
x=30
y=20
z=16

将x和z用y表达即x=3/2 * y z=4/5 * y 带入x+y+z=66中得 33/10 * y=66 解得y=20 从而x=30 z=16

x=3/2y,y=5/4z→x=[(3/2)*(5/4)]z=15/8z
x+y+z=(15/8+5/4+1)z=66→z=16
x=(15/8)*16=30
y=(5/4)*16=20
z=16

设x=1.5y z=0.8y 得出方程1.5y+y+0.8y=66 解出y=20 之后解出x=30 z=16

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