4. Select the equation that has infinitely many solutions.(1 point)

Question

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)

Answer 1

3−3x=−3(x−1)

Answer 2

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 3

Based on the student's work, the equation was solved incorrectly. The equation solved correctly would show that it has solution(s).

Answer 4

how many solutions

Answer 5

The equation in this case has infinitely many solutions.

Answer 6

. 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 7

The only solution to the equation is 1

Answer 8

check your answer

Answer 9

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.