Question

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

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

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

3x+4=4x+3
3 x plus 4 equals 4 x plus 3
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Answer 1

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

1. **3x + 4 = 3x + 3**
- If we subtract \(3x\) from both sides, we get \(4 = 3\), which is a contradiction. Therefore, this equation has no solution.

2. **3x + 4 = 3x + 4**
- This is true for all values of \(x\). Therefore, it has an infinite number of solutions.

3. **4x + 3 = 3x + 3**
- If we subtract \(3x\) from both sides, we get \(x + 3 = 3\). Solving this gives \(x = 0\), so there is one solution.

4. **3x + 4 = 4x + 3**
- If we rearrange this, subtract \(3x\) from both sides to get \(4 = x + 3\), which simplifies to \(x = 1\). So there is one solution here as well.

Thus, the equation with **no solution** is:

**3x + 4 = 3x + 3**.