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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

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

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

3x+4=3x+3

1 answer

An equation with no solution occurs when the two sides of the equation cannot be equal for any value of the variable.

Let's analyze the provided options:

  1. 3x + 4 = 3x + 4
    This simplifies to 0 = 0, which is true for any x. Thus, it has infinitely many solutions.

  2. 4x + 3 = 3x + 3
    This simplifies to x = 0, which has one solution.

  3. 3x + 4 = 4x + 3
    This simplifies to x = 1, which has one solution.

  4. 3x + 4 = 3x + 3
    This simplifies to 4 = 3, which is a false statement. Therefore, it has no solutions.

So, the equation with no solution is 3x + 4 = 3x + 3.