Systems Solution Types

Front

What is a solution of a system of equations?

Back

An ordered pair that satisfies all equations in the system.

Front

What do the slopes of parallel lines indicate?

Back

The slopes of parallel lines are the same.

Front

What does the graph of a system of equations with no solution look like?

Back

The graph consists of parallel lines.

Front

What is the term for a system of equations that has exactly one solution?

Back

Consistent and independent.

Front

What is the term for a system of equations that has no solution?

Back

Inconsistent.

Front

What is the term for a system of equations that has infinitely many solutions?

Back

Consistent and dependent.

Front

How can you determine if two lines are parallel?

Back

If their slopes are equal.

Front

What is the graphical representation of a system of equations?

Back

The intersection points of the lines represent the solutions.

Front

What does it mean if two lines intersect at one point?

Back

The system has one unique solution.

Front

What is the significance of the ordered pair (1,3) in a system of equations?

Back

It is a solution that satisfies all equations in the system.