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

1 answer

An equation with no solution is one where, when simplified, it leads to a contradiction.

  1. 3x + 4 = 3x + 4 is true for all x (infinitely many solutions).
  2. 4x + 3 = 3x + 3 simplifies to x = 0 (one solution).
  3. 3x + 4 = 3x + 3 simplifies to 4 = 3 (a contradiction, and thus no solution).
  4. 3x + 4 = 4x + 3 simplifies to x = 1 (one solution).

Therefore, the equation 3x + 4 = 3x + 3 is an example of an equation with no solution.

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