Given that the 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
How many solutions does the system have?
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To determine how many solutions a system of equations has based on its graph, consider the following:
– No solution: Lines are parallel and never intersect.
– One solution: Lines intersect at a single point.
– Infinitely many solutions: Lines coincide (are the same line).
– Cannot be determined: If the graph does not clearly show any of the above.
So, if you can see the relationship of the lines in the graph, you can figure out the answer from the options provided.
Please make sure to look at the specific graph to decide which situation applies!