Flushing the cooling system would require draining the fluid. Open up most of the hose-connections. Then use compressed-air to blow out the residual fluid. (I like using leaf-blower for this task) Do not forget to blow the residue out of the heater-core.
Then, after you have removed as much residue as you can... re-assemble and fill with DISTILLED water. Feel free to drive with the distilled water in the system for awhile. This will help dillute whatever is left in the system.
Then, repeat the drain and blowout of the distilled water and reassemble again.
Upon occasion, I had to fill and run with distilled water several times before it drained out clear and clean. It is IMPERITIVE you get clear distilled water out of the system which indicates you have removed the residue.
ONLY AT THAT POINT can you add the proper antifreeze to the system. With any luck, you will end up with a system filled with pure antifreeze.
Do not forget to remove and wash out the overflow tank. I often toss a handful of small gravel inside the thing with some water and dish-detergent. The abrasive action of the gravel when shaken will make the tank clean....then rinse with clear water.
Hopefully, at this point, you will realize it is FARRRR easier to simply keep a supply of the PROPER antifreeze on-hand so you never EVER mix things up again.