Question

Classify each equation as having No Solution, One Solution, or Infinitely Many Solutions
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
No Solution One Solution Infinitely Many Solutions

Answer 1

To classify equations into No Solution, One Solution, or Infinitely Many Solutions, we can consider some general forms:

1. **No Solution**: This occurs when the equations are parallel lines with the same slope but different y-intercepts, meaning they never intersect. For example:
- \(2x + 3y = 6\)
- \(2x + 3y = 7\)

2. **One Solution**: This occurs when the equations represent lines that intersect at exactly one point, meaning they have different slopes. For example:
- \(x + y = 2\)
- \(x - y = 1\)

3. **Infinitely Many Solutions**: This occurs when the equations represent the same line, meaning they are identical. For example:
- \(2x + 4y = 8\)
- \(x + 2y = 4\) (by dividing the first equation by 2)

If you provide specific equations, I can help classify each one based on these principles!