Graphing Systems of Equations

Front

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

Back

The two lines are the same line.

Front

What type of lines represent a system of equations with no solution?

Back

Parallel lines.

Front

What is the solution to the system of equations represented by the point (1, -1)?

Back

The solution is (1, -1).

Front

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

Back

One solution.

Front

What is the solution to the system of equations represented by the point (-3, -8)?

Back

The solution is (-3, -8).

Front

What do intersecting lines indicate about a system of equations?

Back

They indicate that there is one unique solution.

Front

If two lines are the same, how many solutions does the system have?

Back

Infinitely many solutions.

Front

What is the graphical representation of a system with no solution?

Back

Two parallel lines.

Front

What does the point of intersection of two lines represent in a system of equations?

Back

The solution to the system.

Front

If a system of equations has exactly two lines that do not intersect, what can be said about the solutions?

Back

There is no solution.