kvm vs xen and hypervisors
Xen can do full virtualization on systems that support virtualization extensions, but can also work as a hypervisor on machines that don't have the virtualization extensions. KVM is a hypervisor that is in the mainline Linux kernel. ... If you want to run a Xen host, you need to have a supported kernel.
If you get output from the following command:
egrep '^flags.*(vmx|svm)' /proc/cpuinfo
It means your processor CPU can should support KVM
This will provide good info as well:
dmesg | grep kvm
If you have trouble with hypervisor it might simply be disabled in the BIOS. reboot enable and you will be able to install hypervisors