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.
The solution to a system of two linear equations is x = 3 weeks: y = 9 feet
Match the description with the correct statement.
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?
1 answer