Question

the rectangular coordinate system shows the graph of the equations in a system of equations. use the graph to determine the number of solutions for the system. if the system has only one solution, give its coordinates.

choose the correct answer below

a. the only solution is
(type an ordered pair, using integers or decimals.)

b. there are an infinite number of solutions

c. there is no solution.

Explanation:

Step1: Analyze the graph

The graph shows a single line (assuming it's a system with one line, meaning the two equations are the same or coinciding). For a system of linear equations, if the graphs are the same line, there are infinitely many solutions because every point on the line satisfies both equations.

Step2: Match with options

Option B states there are an infinite number of solutions, which matches the analysis of a coinciding line system.

Answer:

B. There are an infinite number of solutions