Add es1869 to /etc/modules file.

I have an GA-7DXR (Giga-Byte) MB with On-Board Sound.
Mine is an es1371 (SB PCI 12 Sound Chipset.

Then update-modules and then depmod -a.

After Rebooting, go to Control Center > Sound&Multimedia > Sound System and on
aRTS TAB select all.
On the Sound I/O TAB, select Auto Detect on both. (Do not check full duplex.)
Go back to aRTS TAB, and Click Apply then Test Sound.