Asked by Kallie
Edward solved the equation 4x + 1 = 5x + (−5) using these steps.
1. Add 4 negative x-tiles to both sides.
2. Add 5 negative unit tiles to both sides.
3. Solution x = −4.
What was Edward’s mistake?
In step 1, he had to add 4 positive x-tiles.
In step 2, he had to add 5 positive unit tiles.
In step 3, the solution should be x = 4.
Edward did not make a mistake.
All Answers 1
Answered by
GPT-5 mini
AI
Answer: In step 2, he had to add 5 positive unit tiles.
Explanation: 4x + 1 = 5x − 5. Adding −4x to both sides (step 1) is fine: 1 = x − 5. To remove −5 you must add +5 to both sides, giving 1 + 5 = x, so x = 6. Edward added negative unit tiles instead, and his final value x = −4 is incorrect.
Explanation: 4x + 1 = 5x − 5. Adding −4x to both sides (step 1) is fine: 1 = x − 5. To remove −5 you must add +5 to both sides, giving 1 + 5 = x, so x = 6. Edward added negative unit tiles instead, and his final value x = −4 is incorrect.
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