Question

Which of the following is an example of an equation with no solution?(1 point)

4x+3=3x+3

3x+4=3x+4

3x+4=4x+3

3x+4=3x+3

Answer 1

To determine which equation has no solution, we can analyze each option:

1. **4x + 3 = 3x + 3**
- Subtract 3x from both sides:
- 4x - 3x + 3 = 3
- x + 3 = 3
- Subtract 3 from both sides:
- x = 0 (This equation has a solution.)

2. **3x + 4 = 3x + 4**
- This equation simplifies to a true statement. It is an identity and has an infinite number of solutions (any x works).

3. **3x + 4 = 4x + 3**
- Subtract 3x from both sides:
- 4 = x + 3
- Subtract 3 from both sides:
- x = 1 (This equation has a solution.)

4. **3x + 4 = 3x + 3**
- Subtract 3x from both sides:
- 4 = 3 (This is a false statement. No value of x will satisfy it.)

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