Types of Solutions to System of Equations

Front

What are the three types of solutions for a system of equations?

Back

No Solution, One Solution, Infinitely Many Solutions

Front

What does 'No Solution' mean in a system of equations?

Back

It means the lines are parallel and never intersect.

Front

What does 'One Solution' mean in a system of equations?

Back

It means the lines intersect at exactly one point.

Front

What does 'Infinitely Many Solutions' mean in a system of equations?

Back

It means the lines overlap completely, representing the same line.

Front

How can you identify a system of equations with 'No Solution'?

Back

The equations represent parallel lines.

Front

How can you identify a system of equations with 'One Solution'?

Back

The equations represent intersecting lines.

Front

How can you identify a system of equations with 'Infinitely Many Solutions'?

Back

The equations represent the same line.

Front

What is the graphical representation of 'No Solution'?

Back

Two parallel lines.

Front

What is the graphical representation of 'One Solution'?

Back

Two intersecting lines.

Front

What is the graphical representation of 'Infinitely Many Solutions'?

Back

One line on top of another line.