X:Y=5:3,y:Z=7:5,2X—Y—Z=34.解方程组

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X:Y=5:3,y:Z=7:5,2X—Y—Z=34.解方程组

X:Y=5:3,y:Z=7:5,2X—Y—Z=34.解方程组
X:Y=5:3,y:Z=7:5,2X—Y—Z=34.解方程组

X:Y=5:3,y:Z=7:5,2X—Y—Z=34.解方程组
X:Y=5:3,y:Z=7:5
∴x:y:z=35:21:15
设x=35k,则y=21k,z=15k
∵2x-y-z=34
∴70k-21k-15k=34
34k=34
k=1
∴x=35,y=21,z=15

X:Y=5:3即3x=5y①
y:Z=7:5即5y=7z②
①代入②3x=7z
所以2X—Y—Z=34
2x-3x/5-3x/7=34
34x/35=34
x=35
代入①y=21,z=15

X:Y=5:3

y:Z=7:5

2X—Y—Z=34

X=5Y/3 Z=5Y/Z,原方程式为,10Y/3-Y-5Y/7=34,Y=21,X=35,Z=15