Solve Systems by Graphing

Front

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

Back

The two lines are identical.

Front

What is the solution to the system of equations represented by the lines graphed?

Back

(1, 3)

Front

How many solutions will 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 graphed by Buzz?

Back

(1, -4)

Front

What happens when you graph the same equation twice?

Back

You will have infinitely many solutions.

Front

What are the characteristics of parallel lines in a system of equations?

Back

They have no solutions.

Front

What does it mean if two lines intersect at a point on a graph?

Back

The system has one unique solution.

Front

How can you determine if a system of equations has no solution?

Back

If the lines are parallel.

Front

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

Back

Two identical lines on the graph.

Front

What is the first step in solving a system of equations by graphing?

Back

Graph each equation on the same coordinate plane.