Solving Systems of Equations by Graphing

Front

What is the solution to a systems 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

How many solutions will this system have if the lines intersect at one point?

Back

One

Front

Where do these two lines intersect if the solution is (-2, 3)?

Back

(-2, 3)

Front

What is the solution to the system of equations if the answer is (1, -1)?

Back

(1, -1)

Front

What is the solution if both lines are graphed over each other?

Back

Infinitely Many Solutions

Front

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

Back

The lines are parallel and never intersect.

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What is the graphical representation of a system of equations?

Back

The lines of the equations plotted on a coordinate plane.

Front

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

Back

There is one unique solution to the system.

Front

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

Back

It represents the values of the variables that satisfy all equations in the system.