Here are the graphs of those two lines. Remember, a solution to a system of equations is a point you can find on both lines. This is where they intersect. What is the solution to this system of equations?

(1,3)
(3,2)
(2,3)
(3,1)

1 answer

To determine the solution to the system of equations represented by the two lines, we need to identify the point where these lines intersect. The options provided (1,3), (3,2), (2,3), and (3,1) are potential solutions.

Without the actual graphs, we need to evaluate each of the points against possible lines. Typically, the solution is indicated by the coordinates of the point of intersection.

  • (1,3): x=1, y=3
  • (3,2): x=3, y=2
  • (2,3): x=2, y=3
  • (3,1): x=3, y=1

If we assume we've determined that two linear equations have intersecting points, the solution is whichever of these points lies on both lines.

If you can refer back to your graph to see where the intersection occurs, that will tell you which of these points is the solution to the system of equations. If the graph is not available, the best method to find the answer would involve substituting each potential solution into the equations of the lines until we find the point that satisfies both.

If one of these points is correct, it will validate under the system of equations given by the two lines. If you happen to find that either (3,2) or (3,1) lies on both lines, it should be chosen as the solution. If you can provide which lines were given or confirm the intersection visually, I would be happy to help further!