The phrase "approve a system" is correct and usable in written English.
It can be used when discussing the endorsement or acceptance of a particular system, process, or method within an organization or project.
Example: "The committee will meet next week to approve a system for tracking employee performance."
Alternatives: "authorize a system" or "validate a system".
He called for lawmakers to approve a system of public financing for campaigns as well as lower campaign contribution limits.
Lawmakers need to require disclosure of all major campaign donations, and approve a system encouraging small contributions.
Responding to those concerns, the Agriculture Department did approve a system of hazard controls for slaughterhouses and packing plants four years ago.
Mr. Clinton made it clear that he would approve a system only if the administration could reach agreement with the Russians to amend the treaty, officials said.
The trustees approve a system for "Collegiate Education of Women," whereby qualified women could take Columbia examinations and receive Columbia degrees but could not attend Columbia courses.
The A.D.A. and the Food and Drug Administration have approved a system of tooth-decay removal that requires less drilling and no anesthetic.
Last week, the F.D.A. approved a system with 120 inputs that is said to enhance the ability to hear music and to improve hearing in noisy environments.
In 1948 the state legislature approved a system that incorporated some existing schools and called for the construction of new colleges in underserved areas.
Last week, the National Assembly, which is completely controlled by President Hugo Chávez, approved a system governing how the state oil company, Petróleos de Venezuela, will control projects that account for about one-fifth of Venezuela's oil production.
The board has already approved a system whereby the top players must commit to play (or in case of injury, attend) all eight of its top tournaments or risk financial penalties and suspension.
The ATP board has already approved a system in which the top players must commit to play (or, in case of injury, attend) all eight of its top tournaments or risk financial penalties and suspension.
