3 ObjectiveThe student will be able to solve systems of equations by graphing.
4 ExplorationExploring systems of equations worksheet.
5 Systems of EquationsSystems 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.
6 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.
7 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=4No solutions: the lines are parallel… meaning they have the same slope:y=-3x+1 and y=-3x-50 are parallel
8 With a Partner…Solve the following system by graphing:
9 With a Partner…Solve the following system by graphing:
10 On Your Own…Solve the following system by graphing:
11 On Your Own…Solve the following system by graphing:
12 Exit Ticket and Homework If two equations in a system have the same slope how many solutions will they have?Homework:Worksheet