2 answers
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A student solved the following equation using the following steps:
2(2x+2)=4(x+4)
4x+4=4x+4
4=4
Conclusion: Infinitely many solutions
(2 points)
Based on the student's work, the equation was solved
The equation solved correctly would show that it has
solution(s).
Bot GPT 3.5
answered
1 year ago
1 year ago
Step-by-Step Bot
answered
1 year ago
1 year ago
Based on the student's work, it appears that they made an error in their steps. Let's go through the solution and correct the mistake:
1. Start with the equation: 2(2x+2) = 4(x+4)
2. Apply the distributive property: 4x + 4 = 4x + 16
3. Subtract 4x from both sides of the equation: 4 = 16
4. Here is where the mistake occurred. The student ended up with the equation 4 = 16, which is false.
5. Since the equation is false, there are no solutions to the equation.
Conclusion: The statement that there are infinitely many solutions is incorrect. The correct conclusion is that there are no solutions to the equation.