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)

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).
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.
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.

Related Questions