Which of the following is an example of an equation with no solution?(1 point)

Responses

3x+4=3x+3
3x+4=3x+4
3x+4=4x+3

1 answer

The equation with no solution is:

3x + 4 = 3x + 3

This is because when you simplify it, you get:

3x + 4 - 3x = 3 4 = 3

This statement is false, indicating that there is no value of x that can satisfy the equation.

The other two equations have solutions:

  • 3x + 4 = 3x + 4 is true for all x (an identity), and
  • 3x + 4 = 4x + 3 can be solved for a specific value of x.