Question

How many solutions does the system of equations have?

A.
The system has exactly one solution.


B.
The system has infinitely many solutions.


C.
The system has no solution.

Answer 1

You can tell instantly from the graph that the two lines intersect at one point; thus, the system of linear equations has exactly one solution.

You can approximate the solution by reading the approx. coordinates of the point of intersection: (2,7).

Since the diagram is a little fuzzy, it'd be smart to determine the equations of these two lines and then solve the system of equations algebraically. Still, the solution will come out to be exactly (2,7) or near it.