The company notes that the app is not displayed on certain systems automatically, and that users don't need to do anything in this case.
Microsoft reveals in a Knowledgebase article how to hide the Get Windows 10 app on older versions of Windows. Double-click it and set its value to 1.Right-click on GWX and select New > Dword (32-bit) Value.
Update: One additional Registry preference came to light recently that, when combined with the one described in this article, should prevent the upgrade to Windows 10 on all home and business machines running Windows 7 or 8.