Types of Solutions to System 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 'No Solution'?

Back

It means the equations represent parallel lines that never intersect.

Front

What does it mean if a system of equations has 'One Solution'?

Back

It means the equations represent lines that intersect at exactly one point.

Front

What does it mean if a system of equations has 'Infinitely Many Solutions'?

Back

It means the equations represent the same line, overlapping each other.

Front

What is the graphical representation of a system with 'No Solution'?

Back

Parallel lines.

Front

What is the graphical representation of a system with 'One Solution'?

Back

Intersecting lines.

Front

What is the graphical representation of a system with 'Infinitely Many Solutions'?

Back

Overlapping lines.

Front

If two equations have the same slope but different y-intercepts, what type of solution do they have?

Back

No Solution.

Front

If two equations have different slopes, what type of solution do they have?

Back

One Solution.

Front

If two equations are identical, what type of solution do they have?

Back

Infinitely Many Solutions.