Miguel used the graph below to represent a system of equations.

On a coordinate plane, 2 lines will intersect at one point.

Which statement is the best conclusion for Miguel’s system?
A. Since the lines do not intersect, this system has no solution.
B. Since the lines will intersect at one point, this system has one solution.
C. Since the lines will intersect at two points, this system has two solutions.
D. Since the lines will intersect at many points, the system has many solutions.

1 answer

The best conclusion based on the information provided is:

B. Since the lines will intersect at one point, this system has one solution.

This is because when two lines intersect at a single point, it indicates that there is exactly one solution to the system of equations represented by those lines.

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