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 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 solution to this system could possibly have this meaning.
How would you locate the solution of the two linear graphs on the coordinate plane? The solution can be found at the point of intersection of the two lines on the coordinate plane.
How could you get exactly two or three solutions to this linear system? To get exactly two or three solutions, the lines representing the equations must be parallel or coincident.
The solution to this system could possibly have this meaning. The solution represents a specific point in the context of the problem, such as the amount of time (x) and distance (y) in the given scenario.
How would you locate the solution of the two linear graphs on the coordinate plane?
The solution to a system of two linear equations is found by identifying the point where the two lines intersect on the coordinate plane.
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Locate the point where the two lines intersect on the coordinate plane.
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How could you get exactly two or three solutions to this linear system?
A system of linear equations can have exactly two or three solutions if the lines representing the equations are parallel or coincident.
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The lines representing the equations are either parallel or coincident.
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The solution to this system could possibly have this meaning.
The solution to a system of linear equations represents the values of the variables that satisfy both equations simultaneously. In this case, the solution could mean that after 3 weeks (x = 3 weeks), there is a distance of 9 feet (y = 9 feet).
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After 3 weeks, there is a distance of 9 feet.
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How would you locate the solution of the two linear graphs on the coordinate plane?
- To locate the solution of the two linear graphs on the coordinate plane, you would need to graph both equations on the same set of coordinate axes and find the point of intersection. The coordinates of this point represent the solution to the system of equations.
How could you get exactly two or three solutions to this linear system?
- In a system of two linear equations, it is not possible to have exactly two or three solutions. The system can either have exactly one solution (consistent and independent), no solution (inconsistent), or infinitely many solutions (consistent and dependent). The given information suggests that the system has one unique solution.
The solution to this system could possibly have this meaning.
- Without additional context or information about the equations, it is not possible to determine the specific meaning of the solution (x = 3 weeks; y = 9 feet). The variables x and y represent different quantities, and their relationship depends on the specific equations being solved. It could represent any situation where two linear equations are being used to model a real-world problem, such as distance-time, cost-revenue, or supply-demand relationships.