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)
1. How would you locate the solution of the two linear graphs on the coordinate plane? _______
2. How could you get exactly two or three solutions to this linear system? _________
3. The solution to this system could possibly have this meaning. _______
A. No way to have 2 linear graphs with 2 or 3 intersecting points
B. From the origin, find the y-intercepts and subtract them
C. Curving the lines around so that they cross multiple times
D. Making the lines parallel to each other
E. The point showing after 3 weeks, the plant was 9 feet tall
F. Find the point where the two lines cross; (3,9)
G. The point where the lines cross the y-axis after 3 weeks
H. The point where the 9 foot plant stopped growing for 3 weeks
1. F. Find the point where the two lines cross; (3,9)
2. A. No way to have 2 linear graphs with 2 or 3 intersecting points
3. E. The point showing after 3 weeks, the plant was 9 feet tall
1. How would you locate the solution of the two linear graphs on the coordinate plane? (F. Find the point where the two lines cross; (3,9))
2. How could you get exactly two or three solutions to this linear system? (A. No way to have 2 linear graphs with 2 or 3 intersecting points)
3. The solution to this system could possibly have this meaning. (E. The point showing after 3 weeks, the plant was 9 feet tall)
1. How would you locate the solution of the two linear graphs on the coordinate plane?
The correct statement that matches this description is F. Find the point where the two lines cross; (3,9).
To locate the solution of the two linear graphs on the coordinate plane, you would need to find the point of intersection between the two lines representing the equations. In this case, the point of intersection is (3,9), which represents the solution to the system of equations.
2. How could you get exactly two or three solutions to this linear system?
The correct statement that matches this description is A. No way to have 2 linear graphs with 2 or 3 intersecting points.
In a system of linear equations, there can be three possible scenarios for the number of solutions: one solution, no solution, or infinitely many solutions. In this particular case, if the given solution is (x = 3 weeks, y = 9 feet), then there is only one solution to the system of equations. It is not possible to have exactly two or three solutions in this linear system.
3. The solution to this system could possibly have this meaning.
The correct statement that matches this description is E. The point showing after 3 weeks, the plant was 9 feet tall.
In the context of the problem, the solution (x = 3 weeks, y = 9 feet) represents the time (in weeks) it took for a plant to grow and the height (in feet) it reached. Thus, the solution indicates that after 3 weeks, the plant had grown to a height of 9 feet.