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)
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)
1 answer