Introduction to Systems

Front

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

Back

Parallel lines.

Front

What is the number of solutions to a system of equations that has infinitely many solutions?

Back

Infinitely Many Solutions.

Front

If a system of linear equations has no solution, what does this indicate about the lines?

Back

The lines are parallel.

Front

How many solutions does a system of equations have if the lines intersect at one point?

Back

One Solution.

Front

What does it mean if two lines in a system of equations are the same line?

Back

Infinitely Many Solutions.

Front

What type of lines represent a system of equations with exactly one solution?

Back

Intersecting lines.

Front

If two lines are parallel, how many solutions does the system of equations have?

Back

No Solution.

Front

What is the term for a system of equations that has exactly two solutions?

Back

This is not possible; a system can have zero, one, or infinitely many solutions.

Front

What is the graphical representation of a system with infinitely many solutions?

Back

The same line represented multiple times.

Front

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

Back

The system has no solution.