If i install just Visual C++ 2017 Redistributable on my machine, can it support applications that was written for 2015
in other words, if I uninstall Visual C++ 2015 Redistributable and install Visual C++ 2017 Redistributable, will all the applications work without any errors?
No they won't work
The redistributable package is a .exe, which installs the required DLLs
Where XXXX changes per build (VS2017, VS2015,...)
It is also not reference counted, which means no matter how many people install it, one uninstall rips out the files.
UPDATE
The Visual Studio 2017 does not change the version number
Thus Microsoft believe that the VS 2015 and VS 2017 redistributable packages are compatible.
Unfortunately, looking for downloads of VS2015 and VS2017, they are both available, so there may be subtle differences.
If the 2015 does not install, it will be because it thinks it is less good than the already installed 2017. However I have failed to find strong documentation that this is what Microsoft expects.