Final answer:
Chief Justice Marshall's decision in the case of Marbury v. Madison was that Marbury had the right to a legal remedy, establishing judicial review.
Step-by-step explanation:
In the case of Marbury v. Madison, Chief Justice John Marshall's decision was that Marbury had the right to a legal remedy, establishing that individuals had rights even the president of the United States could not abridge. However, Marshall also found that Congress's Judicial Act of 1789, which would have given the Supreme Court the power to grant Marbury remedy, was unconstitutional because the Constitution did not allow for cases like Marbury's to come directly before the Supreme Court. This decision established the principle of judicial review, which allows the Supreme Court to review and possibly nullify the actions of Congress and the president.