do you think you can get your chest ripped and wider from doing this two exercises? I can't afford and don't have the time for a membership ate the gym so I have to work out at home, thank you.
The pull up is a back exercise so that won't do anything for your chest.
You can develop a decent chest with just push ups. What you are going to want to do is vary your hand width and also the height of your legs so you can prioritize your upper and lower chest and outer and inner chest.
Start with narrow grip push ups and slowly extend the width of your hands each set. Also vary where your feet are. Do a couple sets with your feet on the floor and then do a couple sets with your feet on a chair to prioritize your upper chest more.
You can do a lot more than just push ups and pull ups at home. Just look up at home workouts. There are also a ton of aps that are designed for this. Don't forget to keep an eye out on classified sites like ebay, kijiji, LetGo, etc......people are often giving away gym equipment free or extremely cheap because they don't use it and it takes up a ton of space.