Question

the graph below represents a system of equations. determine the type of system and the possible number of solutions.

Explanation:

Step1: Identify line characteristics

The graph shows two distinct horizontal parallel lines (they never intersect, same slope, different y-intercepts: $y=1$ and $y=-1$).

Step2: Classify the system

A system of linear equations with parallel, non-coinciding lines is inconsistent.

Step3: Determine solution count

Parallel lines never cross, so there are no points that satisfy both equations.

Answer:

This is an inconsistent system, and it has 0 solutions.