Question

Which of the following equations have infinitely many solutions? choose all answers that apply: choose all answers that apply: (choice a) − 75 x 57 = − 75 x 57 −75x 57=−75x 57minus, 75, x, plus, 57, equals, minus, 75, x, plus, 57 a − 75 x 57 = − 75 x 57 −75x 57=−75x 57minus, 75, x, plus, 57, equals, minus, 75, x, plus, 57 (choice b) − 57 x 57 = − 75 x 75 −57x 57=−75x 75minus, 57, x, plus, 57, equals, minus, 75, x, plus, 75 b − 57 x 57 = − 75 x 75 −57x 57=−75x 75minus, 57, x, plus, 57, equals, minus, 75, x, plus, 75 (choice c) 57 x 57 = − 75 x − 75 57x 57=−75x−7557, x, plus, 57, equals, minus, 75, x, minus, 75 c 57 x 57 = − 75 x − 75 57x 57=−75x−7557, x, plus, 57, equals, minus, 75, x, minus, 75 (choice d) 75 x 57 = − 75 x 57 75x 57=−75x 5775, x, plus, 57, equals, minus, 75, x, plus, 57 d 75 x 57 = − 75 x 57 75x 57=−75x 57

Answer 1

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.

Step-by-step 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.

Learn more about equations with infinitely many solutions