Systems of Graphing

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean for two lines to intersect?

Back

It means they have a common solution, which is the point where they meet.

Front

What is the solution to a system of equations?

Back

The point(s) where the equations intersect on a graph.

Front

What does it mean if two lines are parallel?

Back

They have no solutions because they never intersect.

Front

What does it mean if two lines are the same?

Back

They have infinitely many solutions because they overlap completely.

Front

How can you determine if a system has one solution?

Back

If the lines intersect at exactly one point.

Front

What is the graphical representation of a system of equations?

Back

It is represented by the lines of the equations on a coordinate plane.

Front

What is the significance of the coordinates (x, y) in a solution?

Back

They represent the point of intersection of the lines on a graph.

Front

What does 'no solution' indicate in a system of equations?

Back

It indicates that the lines are parallel and do not intersect.

Front

What is the meaning of 'infinitely many solutions'?

Back

It means the equations represent the same line, so every point on the line is a solution.