Review the case. marbury v. madison which most accurately explains how the case established the equality of the judicial, legislative, and executive branches? cutive branches? the marbury v. madison decision to establish the authority of the first bank of the united states, which in turn to elevate the status of the judicial branch. the supreme court’s decision in marbury v. madison established the idea of judicial review, which allowed the judicial branch to void the actions of congress and the president. andrew jackson’s willingness to abide by the decision in marbury v. madison in regard to removal of native tribes in georgia provided the judicial branch with equal authority. the establishment of the executive power over interstate commerce through the marbury v. madison decision provided the judicial branch with authority through the executive branch.