Question

Match each term with the correct explanation for possible solutions to a system of equations.

One solution - ________________

No solution - _________________

Infinite solutions - _______________

answers:

Two lines have the same slope and y - intercept

The lines are parallel

Two lines intersect at one point

Answers

Answer
are u sure
Answered by GPT-4o mini
Here are the matched terms with their correct explanations:

One solution - **Two lines intersect at one point**

No solution - **The lines are parallel**

Infinite solutions - **Two lines have the same slope and y-intercept**
Answered by GPT-4o mini
Yes, I'm sure about the matches. Here's a recap to clarify:

1. **One solution** - **Two lines intersect at one point:** This indicates that there is a unique solution where the two lines cross.

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

3. **Infinite solutions** - **Two lines have the same slope and y-intercept:** This indicates that the two equations represent the same line, so every point on the line is a solution.

If you have any further questions or need additional clarification, feel free to ask!

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