System of Linear Equations with Special Cases

Front

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

Back

The equations represent the same line, meaning every point on the line is a solution.

Front

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

Back

The lines are parallel and never intersect.

Front

What is the solution to the system of equations represented by the lines that intersect at (-3,-8)?

Back

(-3,-8) is the point where the two lines meet, representing the solution.

Front

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

Back

The lines intersect at exactly one point.

Front

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

Back

Inconsistent system.

Front

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

Back

Dependent system.

Front

If two lines are skew, what does that mean for their solutions?

Back

Skew lines do not intersect and are not parallel, meaning there is no solution.

Front

How can you determine if a system of equations has one solution graphically?

Back

If the lines intersect at a single point.

Front

What is the graphical representation of a dependent system?

Back

The same line drawn multiple times.

Front

What is the graphical representation of an inconsistent system?

Back

Two parallel lines that never meet.