The solution to a system of two linear equations is × = 3 weeks; y = 9 feet
Match the description with the correct statement.
(3 points)
How could you get exactly two or three solutions to this linear system?
The solution to this system could possibly have this meaning.
How would you locate the solution of the two linear graphs on the coordinate plane?
( From the origin, find the y-intercepts and subtract them , The point where the lines cross the y-axis after 3 weeks , No way to have 2 linear graphs with 2 or 3 intersecting points , Curving the lines around so that they cross multiple times , The point where the 9 foot plant stopped growing for 3 weeks , Making the lines parallel to each other , Find the point where the two lines cross; (3, 9) , The point showing after 3 weeks, the plant was 9 feet tall )
The correct match is:
How could you get exactly two or three solutions to this linear system?
- The point where the lines cross the y-axis after 3 weeks
The solution to this system could possibly have this meaning.
- The point showing after 3 weeks, the plant was 9 feet tall
How would you locate the solution of the two linear graphs on the coordinate plane?
- Find the point where the two lines cross; (3, 9)
The solution to a system of two linear equations is × = 3 weeks; y = 9 feet
Match the description with the correct statement.
(3 points)
How could you get exactly two or three solutions to this linear system?
- No way to have 2 linear graphs with 2 or 3 intersecting points
The solution to this system could possibly have this meaning.
- The point showing after 3 weeks, the plant was 9 feet tall
How would you locate the solution of the two linear graphs on the coordinate plane?
- Find the point where the two lines cross; (3, 9)
To get exactly two or three solutions to a linear system, the lines representing the equations must intersect at two or three points on the coordinate plane.
In this case, the description "The point where the lines cross the y-axis after 3 weeks" matches the statement "Find the point where the two lines cross; (3, 9)" because it mentions both the point of intersection and the time frame of 3 weeks.
The description "The point showing after 3 weeks, the plant was 9 feet tall" matches the statement "The point where the 9 foot plant stopped growing for 3 weeks" because it refers to the plant's height over time and the fact that it remained constant for a period of 3 weeks.
On the other hand, the descriptions "From the origin, find the y-intercepts and subtract them" and "Making the lines parallel to each other" do not apply to this specific problem.
Therefore, the correct matches are:
- How could you get exactly two or three solutions to this linear system?
No way to have 2 linear graphs with 2 or 3 intersecting points
- The solution to this system could possibly have this meaning.
The point showing after 3 weeks, the plant was 9 feet tall
- How would you locate the solution of the two linear graphs on the coordinate plane?
Find the point where the two lines cross; (3, 9)