One Solution, No Solution, Infinite Solutions

A set of two or more equations with the same variables that are solved together.

It means there is exactly one set of values for the variables that satisfies all equations in the system.

It means there are no values for the variables that can satisfy all equations in the system, indicating that the lines represented by the equations are parallel.

It means there are countless sets of values for the variables that satisfy all equations in the system, indicating that the equations represent the same line.

If the equations represent lines that intersect at a single point, the system has one solution.

If the equations represent parallel lines that never intersect, the system has no solution.

If the equations represent the same line, the system has infinite solutions.

Two lines intersecting at a single point.

Two parallel lines that do not intersect.

Two lines that lie on top of each other.