For the equation 2x+3=2x+7, we can simplify it as follows:
2x + 3 = 2x + 7
2x - 2x + 3 = 2x - 2x + 7
0x + 3 = 0x + 7
3 = 7
Since the equation simplifies to 3 = 7, it means that the two sides of the equation are not equal. Therefore, there is no solution.
Now let's analyze the equation 5x+5=5x+4:
5x + 5 = 5x + 4
5x - 5x + 5 = 5x - 5x + 4
0x + 5 = 0x + 4
5 = 4
Similar to the previous equation, we end up with 5 = 4, which shows that the equation is not true. Therefore, there is no solution.
In both cases, by simplifying the equations we obtain contradictions, which means the original equations have no solution.
Plug a few points into the original equations and check to show that they can have no solution. Explain your work. 2x+3=2x+7, 5x+5=5x+4
1 answer