Answer :
Final answer:
Only Choice A, -75x + 57 = -75x + 57, has infinitely many solutions. The other choices, B, C, and D, do not have infinitely many solutions because their two sides are not equal.
Explanation:
The subject of your question is equations with infinitely many solutions. These are equations which, when simplified, result in a statement that is always true such as 0 = 0. Looking at your choices:
- Choice A: -75x + 57 = -75x + 57. When the left side is equal to the right side, the equation has infinitely many solutions. So, Choice A is correct.
- Choice B: -57x + 57 = -75x + 75. This equation does not simplify to a statement that is always true, so it does not have infinitely many solutions.
- Choice C: 57x + 57 = -75x -75. This also does not simplify to a statement that is always true, so it does not have infinitely many solutions either.
- Choice D: 75x + 57 = -75x + 57. This equation does not simplify to a statement that is always true, meaning it does not have infinitely many solutions.
