Systems of Equations by Graphing

Front

The ordered pair that satisfies BOTH equations in the system is called the _____________________

Back

solution

Front

When you graph the exact same equation twice, you will have _____________________

Back

infinite solutions.

Front

Solve this system of equations by graphing: y = 1/2x + 2 and y = -3x + 9. What is the solution?

Back

(2, 3)

Front

What is the solution to the system? y = 2x + 4 and y = -x + 6. What is the solution?

Back

(6, -2)

Front

How many solutions will this system have? y = x + 1 and y = x + 2.

Back

No Solution

Front

What is a system of equations?

Back

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

Front

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

Back

The system has one unique solution.

Front

What does it mean if two lines are parallel on a graph?

Back

The system has no solution.

Front

What does it mean if two lines overlap on a graph?

Back

The system has infinitely many solutions.

Front

How do you find the solution of a system of equations by graphing?

Back

Graph both equations and identify the point of intersection.