Problem 13 of 7
Explain why multiplying x + y = 6 by 3 preserves its solution set.
Hints
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reason about equivalent equations before elimination.
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Multiplier must be nonzero.
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Correct
Your answer is equivalent to the expected form.
Solution
Walkthrough
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Full solution stays hidden until you ask for it.
1. Multiply every term on both sides by the factor.
2. State that nonzero scaling is reversible, so the solution set is unchanged.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Using zero as preserving the same solution set.