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)
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How could you get exactly two or three solutions to this linear system?
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.

1 answer

Based on the details provided, here are the descriptions matched with appropriate responses:

  1. How could you get exactly two or three solutions to this linear system?

    • You could modify one of the equations to create a scenario where the lines intersect at multiple points, which typically involves switching to a non-linear equation system or adjusting the coefficients to create parallel or coincident lines.
  2. How would you locate the solution of the two linear graphs on the coordinate plane?

    • You would graph each linear equation on a coordinate plane and identify the point where the two lines intersect; that point represents the solution to the system.
  3. The solution to this system could possibly have this meaning.

    • In this context, the solution could represent a real-world scenario where after 3 weeks (x), a certain height (9 feet, y) has been achieved, possibly describing a growth situation or a project progress metric.

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