How many solutions exist for the system of equations graphed below? none one two infinitely many

Step-by-step explanation:

As you can observe in the image attached, the graphed system has a unique solution.

Remember that a system can have one solution, infinite many solutions or none. Where the lines intersect, they would do it in one point only, because they are straight line, in that case we say that the system has a unique solution.

Additionally, where the system is about two parallel lines one on top of the other, we say that the system has infinite many solutions. And, where the lines are parallel each other and not on top, we say the system doesn't have a solution.

Therefore, the right answer is one.