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Given that the graph represents a system of equations on a coordinate plane, how many solutions does the system have?
A no solution
B one solution
C infinitely many solutions
D can not be determined from the graph
The correct answer is:
B one solution
A system of equations will have one solution if the graphs of the equations intersect at exactly one point on the coordinate plane. This point represents the unique solution to the system. If you can see only one intersection point in the graph, then there is one solution. If the lines are parallel, there would be no solutions (A), and if they are the same line, there would be infinitely many solutions (C). If the graph is unclear, then it might be undetermined (D).