describe the solution.\nthe system has exactly one solution.\nsolution:\nthe system has infinitely many…
describe the solution.\nthe system has exactly one solution.\nsolution:\nthe system has infinitely many solutions.\nthe system has no solution.
Answer
Explanation:
Step1: Analyze the nature of linear systems
A system of linear equations can have one solution (if the lines intersect at a single point), no solution (if the lines are parallel), or infinitely many solutions (if the lines are coincident).
Step2: Interpret the graph
In the given graph, the two lines (Line 1: (y = x - 3) and Line 2: (y=-2x + 3)) intersect at exactly one point. This intersection point represents the solution of the system of equations.
Answer:
The system has exactly one solution.