What is the purpose of system software?

to perform specific useful computing tasks, like word processing and calculation

to provide basic operational functionality by coordinating hardware components

to perform operations inside a web browser in many different operating systems

to translate high-level software programming into machine language as it is run

"To preform specific useful computing tasks, like word processing and calculation" is the correct answer. This is the whole purpose of system software. The third answer is some other type of software (third party software?) and the fourth answer is most likely a compiler. Those are the easiest to take off. The second could also work.

The two answers I would go with are the first and the second.