Which of the following is an example of an equation with exactly one solution?(1 point)

3x+4=3x+3

4x+3=4x+3

3x+4=3x+4

3x+4=4x+3

1 answer

To determine which equation has exactly one solution, we can analyze each option:

  1. 3x + 4 = 3x + 3: Subtracting 3x from both sides gives 4 = 3, which is a false statement. This means there is no solution.

  2. 4x + 3 = 4x + 3: This simplifies to 0 = 0, which is always true. Thus, it has infinitely many solutions.

  3. 3x + 4 = 3x + 4: This also simplifies to 0 = 0, meaning it has infinitely many solutions as well.

  4. 3x + 4 = 4x + 3: Subtracting 3x from both sides gives 4 = x + 3. Subtracting 3 from both sides gives x = 1. This means there is exactly one solution, x = 1.

Therefore, the equation with exactly one solution is 3x + 4 = 4x + 3.