Classifying, Number of Solutions Systems of Equations

Front

What is a system of equations?

Back

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

Front

What does it mean if a system of equations has one solution?

Back

The lines representing the equations intersect at exactly one point.

Front

What does it mean if a system of equations has no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

The lines representing the equations are the same line, meaning they overlap completely.

Front

How do you classify a system of equations that has exactly one solution?

Back

Consistent Independent.

Front

How do you classify a system of equations that has no solutions?

Back

Inconsistent.

Front

How do you classify a system of equations that has infinitely many solutions?

Back

Consistent Dependent.

Front

What is the graphical representation of a consistent independent system?

Back

Two lines that intersect at one point.

Front

What is the graphical representation of an inconsistent system?

Back

Two parallel lines that never intersect.

Front

What is the graphical representation of a consistent dependent system?

Back

Two lines that lie on top of each other.