Question

When a system of two equations with two variables has infinitely many solutions, what can you tell about the graphs of these equations?

a) The graphs intersect at a single point.
b) The graphs are parallel and never intersect.
c) The graphs coincide, representing the same line.
d) The graphs are perpendicular.

Answer 1

When a system of two equations with two variables has infinitely many solutions, the graphs of these equations coincide, representing the same line.

Step-by-step explanation:

When a system of two equations with two variables has infinitely many solutions, it means that the two equations represent the same line. This means that the graphs of these equations coincide and are indistinguishable from each other. They have the same slope, intercept, and every point on one graph is also on the other graph.