Problem 47 of 7
Explain why applying dividing by -4 to both sides of an equation preserves the solution set.
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reason about equivalence.
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Operation must be reversible or equality-preserving; multiplication by zero excluded.
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Correct
Your answer is equivalent to the expected form.
Solution
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1. An equation states two quantities are equal.
2. Applying the same valid operation to both quantities keeps them equal.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Answers that only say 'because it works'.