Question

the graph represents a system of linear equations. determine the number of solutions of the system. no solution one solution many solutions

Explanation:

Step1: Recall solution types for linear systems

A system of linear equations has:

• One solution if lines intersect at one point.
• No solution if lines are parallel (same slope, different y - intercepts).
• Many solutions if lines are coincident (same slope, same y - intercept).

Step2: Analyze the graph

The two lines in the graph are parallel (they never intersect, same slope, different y - intercepts). So, the system has no solution.

Answer:

no solution