# Solving Systems of Equations by Graphing

## Presentation on theme: "Solving Systems of Equations by Graphing"— Presentation transcript:

Solving Systems of Equations by Graphing

Warm Up: Graph the following equation:

Objective The student will be able to solve systems of equations by graphing.

Exploration Exploring systems of equations worksheet.

Systems of Equations Systems of Equations is a set of equations that have the same variables. The solution of a system of equation is an ordered pair that satisfies all equations in the system.

Solving Systems of Equations by Graphing
Systems of equations can be solved by graphing both equations on the same Cartesian Plane. The solution to the system is where they intersect.

Continued… Systems of equations can have:
One solution: one ordered pair satisfies all equations of the system. Infinitely Many Solutions: the system contains the same equation in different representations: y=2x+4 is the same as y-2x=4 No solutions: the lines are parallel… meaning they have the same slope: y=-3x+1 and y=-3x-50 are parallel

With a Partner… Solve the following system by graphing:

With a Partner… Solve the following system by graphing:

On Your Own… Solve the following system by graphing:

On Your Own… Solve the following system by graphing:

Exit Ticket and Homework
If two equations in a system have the same slope how many solutions will they have? Homework: Worksheet