What is the solution to the system of equations shown in the graph below?

There are a couples of ways to find the solution to the system of equations:

1. If the equations are provided we can use method of substitution or we can use method of elimination to find the solution to the system of equations.

2. Another method to find the solution to the system of equation is by graphing.

Now, when we graph a system of equations, the point of intersection of the two graphs tell us the solution to the system of equations.

Here as we can see that a pair of equations are plotted already and they intersect at point , where and .

Therefore, the solution to the system of equations is (that is the point of intersection as well).

The discriminant can be determined from the number of roots of the graph.

If Disc> 0, the function has two distinct roots
If Disc = 0, the function has a repeated root
If Disc < 0, the function has no real root.

Since the given graph has no real root, i.e. it does not cross x-axis at any point, so we can say that the discriminant of the given function is negative.

So the answer to this question is option C