Which of the following is an example of an equation with no solution?(1 point) Responses 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=3x+4 3 x plus 4 equals 3 x plus 4 3x+4=4x+3

Answer 1

To determine which of the given equations has no solution, we can analyze each one:

1. 4x + 3 = 3x + 3
   Subtracting 3x from both sides yields:
   \(4x - 3x + 3 = 3\)
   Which simplifies to:
   \(x + 3 = 3\)
   Thus, \(x = 0\) (Has a solution).

2. 3x + 4 = 3x + 3
   Subtracting 3x from both sides yields:
   \(4 = 3\)
   This is a contradiction, meaning this equation has no solution.

3. 3x + 4 = 3x + 4
   This simplifies to:
   \(0 = 0\)
   This is always true (Has infinitely many solutions, not no solution).

4. 3x + 4 = 4x + 3
   Subtracting 3x from both sides yields:
   \(4 = x + 3\)
   Thus, \(x = 1\) (Has a solution).

The equation that has no solution among the provided options is:
3x + 4 = 3x + 3.