Question

According to the graph, the system of linear equations has how many solutions?
A) 1
B) 2
C) no solutions
D) infinitely many

Answer 1

The lines shown are parallel lines. The solutions are where the lines intersect.  These lines never intersect so there are no solutions.

Answer: C

Answer 2

Since the lines are parallel, the system of linear equations has no solutions: Option C is correct.

For a system of equations to have a solution, the lines in question must intersect.

From the given graph, we can see that the lines given are parallel to each other i.e. both lines do not meet.

Since the lines are parallel, the system of linear equations has no solution.

NB: Set of parallel lines has no solution in an xy plane.

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