Question

1. jasmine graphed the system of equations shown. how many solutions does this system of equations have? the system has an infinite number of solutions. the system has no solutions. the system has 2 solutions. the system has one solution.

Explanation:

Step1: Recall solution rules for linear systems

A system of linear equations (graphed as lines) has solutions where the lines intersect. Parallel lines (same slope, different y - intercepts) never intersect.

Step2: Analyze the graph

The two lines in the graph are parallel (they have the same slope and different y - intercepts, as they never meet and have different positions on the y - axis). Since parallel lines do not intersect, there are no points that satisfy both equations simultaneously.

Answer:

The system has no solutions.