The governor, secretary of state, and attorney-general shall constitute a board of examiners, with power to examine all claims against the state, except salaries or compensation of officers fixed by law, and perform such other duties as may be prescribed by law: provided, that in the administration of moneys in cooperation with the federal government the legislature may prescribe any method of disbursement required to obtain the benefits of federal laws. And no claim against the state, except salaries and compensation of officers fixed by law, shall be passed upon by the legislature without first having been considered and acted upon by said board.