Match each term with the correct explanation for possible solutions to a system of equations.(3 points)

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.
One solution
No solutions
Infinite solutions

3 answers

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

  1. One solution: The graphs of the equations intersect at exactly one point, indicating a unique solution for the system.

  2. No solutions: The graphs of the equations are parallel and never intersect, indicating that there are no possible solutions that satisfy both equations simultaneously.

  3. Infinite solutions: The equations represent the same line, meaning they coincide entirely, and thus, there are an infinite number of solutions that satisfy the system.

You can insert these explanations accordingly based on the responses needed in your system.

the answer choices are
two lines have the same slope and y-intercept
two lines intersect at one point
two lines are parallel.

Thank you for providing the answer choices. Here are the matches for each term based on the options you've given:

  1. One solution: Two lines intersect at one point.

  2. No solutions: Two lines are parallel.

  3. Infinite solutions: Two lines have the same slope and y-intercept.

You can use these matches for your system of equations explanations.

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