Question

Plug a few more points into the original equations and check to show that they have no solutions.

2x+3=2x+7
5x+5=5x+4

Answer 1

To check if the equations have no solutions, we can plug in some random values for x and see if the equations are true.

For the first equation, 2x + 3 = 2x + 7:
- Let's plug in x = 1:
2(1) + 3 = 2(1) + 7
2 + 3 = 2 + 7
5 = 9
Since 5 does not equal 9, the equation is not true.

For the second equation, 5x + 5 = 5x + 4:
- Let's plug in x = 2:
5(2) + 5 = 5(2) + 4
10 + 5 = 10 + 4
15 = 14
Since 15 does not equal 14, the equation is not true.

Therefore, both equations have no solutions.