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 3x+4=4x+3 3 x plus 4 equals 4 x plus 3 4x+3=4x+3 4 x plus 3 equals 4 x plus 3

Answer 1

To determine which equation has exactly one solution, let's analyze each option:

1. 3x + 4 = 3x + 3: Subtracting \(3x\) from both sides gives \(4 = 3\), which is a false statement. There is no solution.

2. 3x + 4 = 3x + 4: This simplifies to a true statement. It is true for all values of \(x\), so there are infinitely many solutions.

3. 3x + 4 = 4x + 3: Subtracting \(3x\) from both sides gives \(4 = x + 3\). Subtracting \(3\) results in \(x = 1\). This equation has exactly one solution: \(x = 1\).

4. 4x + 3 = 4x + 3: Like the second option, this simplifies to a true statement. It is true for all values of \(x\), so there are infinitely many solutions.

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