The double-entry system of debits and credits means that:

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In double-entry bookkeeping, the core idea is that every financial event affects at least two accounts with equal debits and credits. Now, evaluate each option one by one.
Option 1: 'Two pieces of information must be recorded for each transaction--the date and the dollar amount.' While date and amount are essential data, this describes basic recordkeeping elements rather than the essence of double-entry. It does not address the requirement that each transaction affects two accounts with opposite entries, so it is incomplete and misleading about the double-entry concept.
Option 2: 'Debits will be recorded twice as often as credits.' This statement asserts a specific frequency ratio that is not a principle of double-entry accounting. In double-entry, debits and credits must balance within each transaction, but there is no rule that one side must occur more often than the other. Therefore this is incorrect.
Option 3: 'At least two entries, a debit and a credit, must be made for each transaction.' This captures the fundamental mechanism: every transaction must have at least one debit and one credit, and the totals must balance. The phrase 'at least two entries' allows for complex transactions that involve multiple debits and credits, but the essential requirement for every transaction is a paired debit and credit that maintain the accounting equation.
Option 4: 'Each debit and credit will be recorded two times, once in the general ledger and once in the trial balance.' This misrepresents how records are kept. Debits and credits are recorded in the appropriate ledger accounts, and the trial balance is a summary tool used to verify that total debits equal total credits. It is not accurate to say each entry is recorded twice in the ledger system itself.

The double-entry system of debits and credits means that:

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