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

Responses

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

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

1 answer

The equation that has exactly one solution from the given options is:

3x + 4 = 4x + 3

This is because you can solve this equation for x:

  1. Subtract 3x from both sides:
    4 = x + 3
  2. Subtract 3 from both sides:
    1 = x

This results in a single value for x.

Other options either result in an identity (no change, which has infinitely many solutions) or a contradiction (which has no solutions).