Which of the following is an example of an equation with no solution?(1 point) Responses 3x+4=3x+4 3 x plus 4 equals 3 x plus 4 3x+4=3x+3 3 x plus 4 equals 3 x plus 3 3x+4=4x+3 3 x plus 4 equals 4 x plus 3 4x+3=3x+3

Answer 1

To determine which of the equations has no solution, we can analyze each option:

1. 3x + 4 = 3x + 4: This equation simplifies to 0 = 0, which is true for all values of x. So, it has infinitely many solutions.

2. 3x + 4 = 3x + 3: This simplifies to 4 = 3, which is false. Therefore, this equation has no solution.

3. 3x + 4 = 4x + 3: Rearranging gives 3x - 4x = 3 - 4, or -x = -1, which is solvable (x = 1). So, it has one solution.

4. 4x + 3 = 3x + 3: Rearranging gives 4x - 3x = 3 - 3, or x = 0. This also has a solution.

Thus, the example of an equation with no solution is:

3x + 4 = 3x + 3.