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**Solving Systems of Equations by Graphing**

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Warm Up: Graph the following equation:

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

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Exploration Exploring systems of equations worksheet.

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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.

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**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.

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**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

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With a Partner… Solve the following system by graphing:

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With a Partner… Solve the following system by graphing:

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On Your Own… Solve the following system by graphing:

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On Your Own… Solve the following system by graphing:

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**Exit Ticket and Homework**

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

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