Question

if a system of linear equations has one solution, what does this mean about the two line parallel lines intersecting lines the same

Explanation:

Step1: Analyze parallel lines

Parallel lines have the same slope and never intersect. So a system of linear equations representing parallel lines has no solution.

Step2: Analyze the same line

If two lines are the same (coincident), there are infinitely many solutions as every point on the line is a solution.

Step3: Analyze intersecting lines

When two lines are intersecting, they cross at exactly one point. This point of intersection is the unique solution of the system of linear equations.

Answer:

Intersecting lines