I don't think you are going to be able to play it. You need to composite cable slot. Without it, it won't hook up. You can try to find some sort of converter but I'm not even sure they exist.
the t.v. might be old but you really need those three red,white,yellow holes in the t.v. for the ps3 to work. It won't work if u don't even have them on your t.v.