Generally speaking, legal rights work in tandem. But sometimes they conflict, and one must take precedent over the other. For example, a child's right to free speech is superseded by her parent's right to raise her as they see fit. And the rights of life, liberty, and property should not be deprived by the right to free religion.
What about the right to life vs. the right to bear arms? Weighed on a legal scale, which one must yield to the other when they are in conflict?