Read up on Presidential system again, what you described was the method of elected the president/executive. Which can come in many forms i.e direct elections, indirect elections, selection.Presidential system main president ki seat k candidates ko vote daltay jaisay MNA and MPA ko daltay hain. Aysa Pakistan main kab hua ha?
A true presidential system is where he/she holds the executive power to select ministers or cabinet members. Can overturn the legislature albeit with limits.
Next time do some research friend, it's just a Google search away