Question

match each term with the correct explanation for possible solutions to a system of equations, one solution, no solution, infinite solution

Answer 1

Here are the terms matched with their correct explanations for possible solutions to a system of equations:

1. **One Solution**: The lines intersect at exactly one point, which represents the unique solution where both equations are satisfied.

2. **No Solution**: The lines are parallel and never intersect, meaning there are no points that satisfy both equations simultaneously.

3. **Infinite Solutions**: The equations represent the same line, meaning any point on this line is a solution, resulting in an infinite number of solutions.

If you need further clarification or examples for each case, feel free to ask!