The solution to a system of two linear equations is x = 3 weeks; y = 9 feet
Match the description with the correct statement.
these are the three questions
1. How could you get exactly two or three solutions to this linear system?
2. The solution to this system could possibly have this meaning.
3. How would you locate the solution of the two linear graphs on the coordinate plane?
page 5 of 5
1. How could you get exactly two or three solutions to this linear system?
Answer: By graphing the two linear equations and finding the points where the two lines intersect. If the lines intersect at only one point, there is one solution. If the lines overlap and are identical, there are infinitely many solutions. If the lines are parallel and do not intersect, there are no solutions.
2. The solution to this system could possibly have this meaning.
Answer: The solution to the system represents the values of x and y that satisfy both equations simultaneously. In this case, x = 3 weeks and y = 9 feet could represent a scenario where after 3 weeks, a certain quantity (represented by y) has reached a height of 9 feet.
3. How would you locate the solution of the two linear graphs on the coordinate plane?
Answer: By graphing the two linear equations on the coordinate plane and identifying the point of intersection.