Match the correct solution to each system of equations graphed below. *Not all answers will be used. Place the correct solution beneath the graph it matches to. (4 points)

No solution
:: Infinitely many solutions
(1, 1)
(-1, 2)
:: (-1.5, 4.5)
::(0,-1)

1 answer

To match the correct solution to each system of equations based on their graphs, you would typically look for the point of intersection of the lines:

  1. No solution: This occurs when the two lines are parallel and will never intersect.

  2. Infinitely many solutions: This occurs when the two equations represent the same line, so every point on the line is a solution.

  3. (1, 1): This is a specific point of intersection, meaning the two lines intersect at this coordinate.

  4. (-1, 2): This is another specific point of intersection.

  5. (-1.5, 4.5): This is also a specific point of intersection.

  6. (0, -1): This is another specific point of intersection.

Since I can't see the graphs you're referring to, you'll need to analyze the graphs according to these descriptions:

  • If you notice two lines that do not intersect, label it as "No solution."
  • If two lines overlap completely, label it as "Infinitely many solutions."
  • If you can identify a specific intersection point, match it to the corresponding coordinate.

Once you analyze each graph, place the correct solution beneath it according to your findings.