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=>(x-2015).2014 = (y-2014).2015
=>2014x - 2014.2015 =2015y-2014.2015
=>2014x=2015y
=>\(\frac{x}{y}=\frac{2015}{2014}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
Théo đề ta có (x-2015)/2015=(y-2014)/2014=x/2015-1=y/2014-1
--> x/2015=y/2014
-->x/y=2015/2014
tick nha
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{x-2015}{2015}=\frac{x-2014}{2014}\Rightarrow x-\left(2015\cdot2014\right)=y-\left(2015\cdot2014\right)\)=\(x-4058210=y-4058210\)do tích trung tỉ = tích ngoại tỉ ta có:
\(2014x\cdot4058201=2015y\cdot4058201\)=\(\frac{2014x}{2015y}=\frac{4058201}{4058201}=1\Rightarrow\frac{x}{y}\cdot\frac{2014}{2015}=1\Rightarrow\frac{x}{y}=\frac{1}{\frac{2014}{2015}}=1\cdot\frac{2015}{2014}=\frac{2015}{2014}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có : \(\dfrac{x}{2013}=\dfrac{y}{2014}=\dfrac{z}{2015}\)
Suy ra \(\dfrac{x}{2013}=\dfrac{y}{2014}=\dfrac{z}{2015}=\dfrac{x-y}{2013-2014}=\dfrac{x-y}{-1}\)
\(\frac{x-2015}{2015}=\frac{y-2014}{2014}\Leftrightarrow\frac{x}{2015}-\frac{2015}{2015}=\frac{y}{2014}-\frac{2014}{2014}\Leftrightarrow\frac{x}{2015}-1=\frac{y}{2014}-1\)
\(\Leftrightarrow\frac{x}{2015}=\frac{y}{2014}\)
suy ra \(\frac{x}{y}=\frac{2015}{2014}\)