Which of the following is an example of an equation with exactly one solution?(1 point) Responses 3x+4=3x+3 3 x plus 4 equals 3 x plus 3 3x+4=3x+4 3 x plus 4 equals 3 x plus 4 4x+3=4x+3 4 x plus 3 equals 4 x plus 3 3x+4=4x+3

Answer 1

To determine which of the given equations has exactly one solution, we can analyze each option:

1. 3x + 4 = 3x + 3: Subtracting 3x from both sides gives 4 = 3, which is false. This equation has no solutions.

2. 3x + 4 = 3x + 4: Both sides are identical, so this equation is always true. It has infinitely many solutions.

3. 4x + 3 = 4x + 3: Similar to the previous equation, both sides are identical, so it is always true and has infinitely many solutions.

4. 3x + 4 = 4x + 3: Rearranging gives 3x + 4 - 4x = 3 → -x + 4 = 3 → -x = -1 → x = 1. This equation has exactly one solution, x = 1.

The equation with exactly one solution is 3x + 4 = 4x + 3.