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?
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?
How could you get exactly two or three solutions to this linear system?
- The two linear equations could be parallel lines.
The solution to this system could possibly have this meaning.
- The system represents a situation where x represents time and y represents distance.
How would you locate the solution of the two linear graphs on the coordinate plane?
- The solution to the system can be found at the point where the two linear graphs intersect on the coordinate plane.
How could you get exactly two or three solutions to this linear system?
- The system of equations would have to be inconsistent, meaning that the lines would not intersect at any point on the coordinate plane.
To get exactly two or three solutions to a linear system, you would need to have the two equations intersect at two or three distinct points on the coordinate plane. This occurs when the two lines are not parallel and do not coincide.
The solution to this system (x = 3 weeks; y = 9 feet) represents a specific point where the two lines intersect. In this case, the x-coordinate represents the number of weeks and the y-coordinate represents the distance in feet.
To locate the solution of the two linear graphs on the coordinate plane, you would plot the equations as lines and find the point where they intersect. This can be done by graphing the equations on a coordinate plane and visually determining the point of intersection. Alternatively, you can solve the system algebraically by using methods such as substitution or elimination.