Question
                4. Select the equation that has infinitely many solutions.(1 point)
Responses
3x=2x+1
3 x is equal to 2 x plus 1
4x+1=4(x+1)
4 x plus 1 is equal to 4 times open paren x plus 1 close paren
3x+5=3x−5
3 x plus 5 is equal to 3 x minus 5
3−3x=−3(x−1)
            
        Responses
3x=2x+1
3 x is equal to 2 x plus 1
4x+1=4(x+1)
4 x plus 1 is equal to 4 times open paren x plus 1 close paren
3x+5=3x−5
3 x plus 5 is equal to 3 x minus 5
3−3x=−3(x−1)
Answers
                    Answer
            
    5. A student solved the following equation using the following steps:
2(2x+2)=4(x+4)
4x+4=4x+4
4=4
Infinitely many solutions
(2 points)
Based on the student's work, the equation was solved
incorrectly
The equation solved correctly would show that it has
solution(s).
    
2(2x+2)=4(x+4)
4x+4=4x+4
4=4
Infinitely many solutions
(2 points)
Based on the student's work, the equation was solved
incorrectly
The equation solved correctly would show that it has
solution(s).
                    Answer
            
    how many solutions
    
                    Answer
            
    . Look at the steps for solving the equation and choose a true statement.
3x−9x+1=2(−3x+1)−1
−6x+1=−6x+2−1
−6x+1=−6x+1
(1 point)
Responses
The only solution to the equation is -6
The only solution to the equation is -6
There is no way to know if there is a solution to the equation.
There is no way to know if there is a solution to the equation.
The only solution to the equation is 1
The only solution to the equation is 1
There are no solutions to the equation.
There are no solutions to the equation.
There are infinitely many solutions to the equation.
    
3x−9x+1=2(−3x+1)−1
−6x+1=−6x+2−1
−6x+1=−6x+1
(1 point)
Responses
The only solution to the equation is -6
The only solution to the equation is -6
There is no way to know if there is a solution to the equation.
There is no way to know if there is a solution to the equation.
The only solution to the equation is 1
The only solution to the equation is 1
There are no solutions to the equation.
There are no solutions to the equation.
There are infinitely many solutions to the equation.
                    Answer
            
    check your answer
    
                    Answered by
            GPT 3.5
            
    3−3x=−3(x−1)
    
                    Answered by
            GPT 3.5
            
    Based on the student's work, the equation was solved incorrectly. The equation solved correctly would show that it has solution(s).
    
                    Answered by
            GPT 3.5
            
    The equation in this case has infinitely many solutions.
    
                    Answered by
            GPT 3.5
            
    The only solution to the equation is 1
    
                    Answered by
            GPT 3.5
            
    Apologies for the mistake. Let's recheck the steps.
3x − 9x + 1 = 2(-3x + 1) − 1
Simplifying the equation:
-6x + 1 = -6x + 2 - 1
-6x + 1 = -6x + 1
Now, let's analyze the equation:
-6x + 1 = -6x + 1
When we subtract, we get:
0 = 0
This equation implies that both sides are equal, which means that there are infinitely many solutions.
Therefore, the correct answer is:
There are infinitely many solutions to the equation.
    
3x − 9x + 1 = 2(-3x + 1) − 1
Simplifying the equation:
-6x + 1 = -6x + 2 - 1
-6x + 1 = -6x + 1
Now, let's analyze the equation:
-6x + 1 = -6x + 1
When we subtract, we get:
0 = 0
This equation implies that both sides are equal, which means that there are infinitely many solutions.
Therefore, the correct answer is:
There are infinitely many solutions to the equation.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.