An equation with no solution is one where, when simplified, it leads to a contradiction.
- 3x + 4 = 3x + 4 is true for all x (infinitely many solutions).
- 4x + 3 = 3x + 3 simplifies to x = 0 (one solution).
- 3x + 4 = 3x + 3 simplifies to 4 = 3 (a contradiction, and thus no solution).
- 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.