Question

how many solutions exist for the system of equations graphed below?
options:

• infinitely many
• none
• one
• two

Explanation:

Step1: Recall solution definition

A solution to a system of equations graphed as lines is a point where the lines intersect.

Step2: Analyze the graph

The two lines in the graph intersect at exactly one point (they are not parallel, coinciding, or having two intersections). So the number of solutions is determined by the number of intersection points.

Answer:

one (the correct option is the one labeled "one" among the choices)