When a variable is eliminated from the equation during the equation solving process, what are the two possible solutions and what do they mean? Give an example of your own and explain what each answer would look like.

When a variable is eliminated, then the two possible solutions are either infinite solutions or no solutions.

2x + 3 = 2x + 3

2x - 2x = 3 - 3

0 = 0

In this case, we have a true statement ... this means that the problem has infinite solutions.

2x + 3 = 2x + 9

2x - 2x = 9 - 3

0 = 6

In this case, we have a false statement ... this means the problem has no solutions