2x+3=2x+7

Question

7x+3=7x+3
4x+22=8x+10
5x+5=5x+8
3x+18=5x+8
3(4x+8x)=3x+6

determine which pairs of equations of one solution, no solution, and infinite solutions.

Answer 1

1) 2x+3=2x+7
This equation has no solution. When we simplify it, we get 3=7 which is not possible.

2) 7x+3=7x+3
This equation has infinite solutions. This is because both sides of the equation are the same.

3) 4x+22=8x+10
This equation has one solution. When simplified, it is found that x=3

4) 5x+5=5x+8
This equation has no solution. When simplified, it is found that 5=8 which is not possible.

5) 3x+18=5x+8
This equation has one solution. When simplified, it is found that x=5

6) 3(4x+8x)=3x+6
This equation has no solution. When simplified, it is found that 12x+24=3x+6 which is not possible.