Solving Systems by Graphing

Front

What is the solution to a system of equations?

Back

The point or points where they intersect, what the lines have in common, either a single point, infinite number of points or no points. (ALL OF THE ABOVE)

Front

What is the solution to the system of equations graphed by Lesly?

Back

(-3,-8)

Front

What is the solution to the linear system?

Back

(-8, -6)

Front

How can you tell if a point is a solution to a system?

Back

The (x,y) coordinates satisfy both equations.

Front

If a system of linear equations has infinitely many solutions, what does this mean about the two lines?

Back

They are the same line.

Front

What does it mean if two lines are parallel in a system of equations?

Back

There is no solution to the system.

Front

What is the graphical representation of a system of equations?

Back

It is the intersection of the lines representing the equations.

Front

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

Back

The system has a unique solution.

Front

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

Back

Graph each equation on the same coordinate plane.

Front

What is the significance of the intersection point in a system of equations?

Back

It represents the solution to the system.