(1) Subject to the provisions of this Act a petition for dissolution of marriage by a decree of divorce may be presented to the district court by both the parties to a marriage together, whether such marriage was solemnized before or after the commencement of the Marriage Laws (Amendment) Act, 1976 (68 of 1976), on the ground that they have been living separately for a period of one year or more, that they have not been able to live together and that they have mutually agreed that the marriage should be dissolved.