Question

Which equations have no solutions. Mark all that apply.

This problem requires you to show your work.

(2 points)
Responses

7x+3−4x=3(x+1)
7 x plus 3 minus 4 x is equal to 3 times open paren x plus 1 close paren

2(x+2)=2x+2
2 times open paren x plus 2 close paren is equal to 2 x plus 2

6(x+8)=6x+5
6 times open paren x plus 8 close paren is equal to 6 x plus 5

5x+5=5(2x+2)

Answer 1

[AI-generated answer — Bot GPT 3.5]

The equations that have no solutions are:

- 2(x+2)=2x+2
- 6(x+8)=6x+5
- 5x+5=5(2x+2)

To find the solutions, we will simplify each equation and determine if the left side is equal to the right side.

1) 2(x+2) = 2x + 4
Left side expanded: 2x + 4
Right side: 2x + 4

Since the left side is equal to the right side, this equation has solutions.

2) 6(x+8) = 6x + 48
Left side expanded: 6x + 48
Right side: 6x + 5

Since the left side is not equal to the right side, this equation has no solutions.

3) 5x + 5 = 10x + 10
Left side: 5x + 5
Right side: 10x + 10

Since the left side is not equal to the right side, this equation has no solutions.

Therefore, the equations that have no solutions are:
- 6(x+8)=6x+5
- 5x+5=5(2x+2)