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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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

anonymous anonymous answered
2 hours ago
are u sure
User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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!