System image no good for new computer

I am in the process of changing from a Dell Latitude E6430 to a Dell Latitude E7450 due to an ongoing warranty issue. I did a system image from the old computer, but when I tried to do the system restore from this to the new Lappie, all hell broke loose. Obviously some of the hardware had changed, making the drivers irrelevant.
I have had to re-install Windows 7 pro from the DVD supplied by Dell to start again.
What do I do now? And how do I get the backup active on the new computer???

You created a system image using what program ? if it was anything other than Windows backup then some will allow you to do a system restore to different hardware, as far as I believe the old drivers will be then removed from the image during the restore process (amongst other components) however this is not a route I would take or recommend...

Again all depending on what you created the image with the best you can do and retain a stable system is to mount the image / explore the image and then salvage only the user data that you might need...