1. How would you locate the solution of the two linear graphs on the coordinate plane?
- Plot the two linear equations on the same coordinate plane.
- Look for the point of intersection of the two lines.
- The coordinates of the point of intersection represent the solution to the system.
2. The solution to this system could possibly have this meaning.
- The value of x represents the number of weeks, and the value of y represents the number of feet in the given context.
- Therefore, the solution x = 3 weeks, y = 9 feet represents a specific time period and distance in the context of the problem.
3. How could you get exactly two or three solutions to this linear system?
- By graphing the equations, examine the number of points of intersection.
- If there are two distinct points of intersection, then the system has exactly two solutions.
- If the lines are overlapping, resulting in infinite points of intersection, then the system has infinitely many solutions.
- If the lines are parallel and do not intersect, then the system has no solutions.