Systems of equations by graphing

Front

What is a system of equations?

Back

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

Front

What does it mean for two lines to intersect?

Back

It means they have a common solution, which is the point where they meet.

Front

How do you represent a solution to a system of equations graphically?

Back

As the point of intersection of the lines on a graph.

Front

What is the ordered pair format?

Back

(x, y), where x is the horizontal coordinate and y is the vertical coordinate.

Front

What does it mean if two lines are parallel?

Back

They have no points of intersection and therefore no solution.

Front

What is the solution to a system of equations?

Back

The values of the variables that satisfy all equations in the system.

Front

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

Back

If the lines are parallel, they will never intersect.

Front

What is the graphical method for solving a system of equations?

Back

Graph both equations on the same set of axes and identify the intersection point.

Front

What does it mean if two lines coincide?

Back

They lie on top of each other, indicating infinitely many solutions.

Front

How do you find the intersection point of two lines?

Back

Set the equations equal to each other and solve for x, then substitute back to find y.