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December 12, 2011 By the end of today: I will know how to solve systems by elimination.

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Presentation on theme: "December 12, 2011 By the end of today: I will know how to solve systems by elimination."— Presentation transcript:

1 December 12, 2011 By the end of today: I will know how to solve systems by elimination.

2 What is a “system” of two or more equations? A system of equations is a collection of two or more equations with the same set of variables. To solve a system, solve for the variables. Those values have to hold true for each equation in the system. The solution of a linear system is an ordered pair (x, y).

3 How do you solve a system of linear equations? There are several ways. This includes: Graphing Substitution Elimination What does “elimination” mean? Use it in a sentence.

4 Solving Linear Systems by Elimination: Addition & Subtraction Step One: Make sure the equations are aligned. They have to be in the same form (either standard or slope-intercept). Step Two: Add/subtract the equations to eliminate one variable. Step Three: Solve for the remaining variable. Step Four: Substitute the value into either original equation to solve for the other variable. Answer: An ordered pair (x, y).

5 Solving Linear Systems by Elimination: Addition & Subtraction Solve the linear system by elimination (adding or subtracting). Check your solution. 1) 3x + 4y = 8 -3x + 5y = 10

6 Solving Linear Systems by Elimination: Addition & Subtraction Solve the linear system by elimination (adding or subtracting). Check your solution. 2) 2x + 3y = 11 -2x + 5y = 13

7 Solving Linear Systems by Elimination: Addition & Subtraction Solve the linear system by elimination (adding or subtracting). Check your solution. 3) 5x + 6y = 4 7x + 6y = 8

8 Solving Linear Systems by Elimination: Addition & Subtraction Solve the linear system by elimination (adding or subtracting). Check your solution. 4) 4x + 3y = 2 5x + 3y = -2

9 Solving Linear Systems by Elimination: Addition & Subtraction Solve the linear system by elimination (adding or subtracting). Check your solution. 5) 4x + 3y = 2 4x + 3y = -2 6) 4x + 3y = 2 4x + 3y = 2

10 Homework pg 447 (4-14 evens)


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