Question

select the correct answer.
if the graphs of the linear equations in a system are the same line, what does that mean about the possible solution or solutions of the system?
a. there is exactly one solution.
b. there is no solution.
c. there are infinitely many solutions.
d. the lines in a system cannot graph as the same line.

Explanation:

A system of linear equations where the graphs are the same line means the equations are dependent (they represent the same line). Every point on the line is a solution, so there are infinitely many solutions. Option A is for intersecting lines at one point, Option B is for parallel lines (no intersection), and Option D is incorrect as lines can be the same in a system.

Answer:

C. There are infinitely many solutions.