If you are looking to DELETE an account this is not possible. Accounts cannot be deleted. Only a gold account can be canceled and payment information removed. Call 1-800-4-MY-XBOX (US + Canada) if you need to cancel Gold and remove billing information.
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As bowski477 has said there is no way to delete a silver gamer tag. However if you are asking how to delete your entire Windows Live ID you can follow this link which will lead you through the process of closing your account with Windows Live. (Once
done this cannot be undone)