Question

1. the following graph displays a system of two equations. how many solutions does this system of equations have? one solution no solutions infinitely many solutions

Explanation:

Step1: Recall solution rules for linear systems

For a system of linear equations (graphed as lines), the number of solutions is determined by the relationship between the lines:

• If lines intersect at one point: one solution.
• If lines are parallel (never intersect): no solutions.
• If lines are coincident (same line): infinitely many solutions.

Step2: Analyze the graph

The graph shows two distinct, non - coincident lines with the same slope (they are parallel, as they never intersect and have the same steepness). Parallel lines in a linear system have no points of intersection.

Answer:

B. No solutions