Question

problem 6
how many solutions does this system of equations have?
one solution
no soutions
infinitely many solutions

Explanation:

Step1: Recall solution rules for linear systems

A system of linear equations (represented by lines) has: 1 solution if lines intersect, 0 if parallel (no intersection), infinitely many if coincident (same line).

Step2: Analyze the graph

The two lines in the graph are distinct and have different slopes (they are not parallel and not coincident). They will intersect at exactly one point. So the system has one solution.

Answer:

One solution (the option: One solution)