己知x+2y/3=y+3z/4=z+5x/5则x:y:z=__________
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己知x+2y/3=y+3z/4=z+5x/5则x:y:z=__________己知x+2y/3=y+3z/4=z+5x/5则x:y:z=__________己知x+2y/3=y+3z/4=z+5x/5
己知x+2y/3=y+3z/4=z+5x/5则x:y:z=__________
己知x+2y/3=y+3z/4=z+5x/5则x:y:z=__________
己知x+2y/3=y+3z/4=z+5x/5则x:y:z=__________
(x+2y)/3=(y+3z)/4=(z+5x)/5
得方程组
(x+2y)/3=(y+3z)/4
(x+2y)/3=(z+5x)/5
化简得
4x+5y=9z
-10x+10y=3z
解得
x=(5/6)z
y=(17/15)z
x:y=(5/6):(17/15)=25:34
y:z=17:15=34:30
x:y:z=25:34:30
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