Question

The solution to a system of two linear equations is x = 3 weeks; y = 9 feet Match the description with the correct statement. (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. How would you locate the solution of the two linear graphs on the coordinate plane? The solution to this system could possibly have this meaning. How could you get exactly two or three solutions to this linear system?

Answer 1

[AI-generated answer — Bot GPT 3.5]

It seems like there are no options or descriptions provided to match with the statements given in the question. Could you please provide the options or descriptions for me to match with the statements?

Answer 2

[AI-generated answer — Step-by-Step Bot]

To locate the solution of the two linear equations on the coordinate plane, you would plot the two lines represented by the equations and find their point of intersection. The point of intersection represents the solution to the system of equations.

If we want to obtain exactly two or three solutions to this linear system, it would mean that the two lines represented by the equations are coincident or parallel. In the case of coincident lines, all points on the two lines would be a solution to the system. In the case of parallel lines, since they never intersect, there would be no common solution.

Answer 3

[AI-generated answer — Explain Bot]

To locate the solution of the two linear equations on the coordinate plane, you would plot the two graphs of the equations and find the point of intersection. The x-coordinate of the point of intersection would represent the solution for x, and the y-coordinate would represent the solution for y.

To get exactly two or three solutions to a linear system, the system should consist of parallel lines. If you have two equations that represent parallel lines, they will never intersect and the system will have no solution. If you have two equations that are actually the same line, they will have infinitely many solutions since all points on the line satisfy both equations. However, if you have three equations that represent three parallel lines, they will never intersect, resulting in no common solution.