Question

line 2: $y = x - 5$ this system of equations is: consistent independent consistent dependent inconsistent this means the system has: a unique solution solution: (□,□) infinitely many solutions

Explanation:

Step1: Analyze the system of equations

A system of equations is consistent independent if the lines intersect at a single point. From the graph, we can see that the two lines \(L1\) and \(L2\) intersect at one point.

Step2: Find the intersection point

We are given one of the equations \(y = x-5\). Since the lines intersect, we can find the \(x\) and \(y\) values of the intersection point. By observing the graph (or solving the system if we had both equations, but since one is given \(y=x - 5\) and from the graph the intersection \(y=-2\), then substituting \(y=-2\) into \(y=x - 5\) gives \(-2=x - 5\), so \(x=3\))

Answer:

consistent independent, a unique solution, (3, - 2)