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SYSTEMS OF EQUATIONS. SYSTEM OF EQUATIONS -Two or more linear equations involving the same variable.

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Presentation on theme: "SYSTEMS OF EQUATIONS. SYSTEM OF EQUATIONS -Two or more linear equations involving the same variable."— Presentation transcript:

1 SYSTEMS OF EQUATIONS

2 SYSTEM OF EQUATIONS -Two or more linear equations involving the same variable.

3 SOLUTIONS OF SYSTEMS OF EQUATIONS - An ordered pair of numbers that satisfies both equations.

4 SOLVING SYSTEMS OF EQUATIONS There are three ways of solving systems of equations: 1)Graphing Method 2)Elimination (Adding) Method 3)Substitution Method

5 GRAPHING METHOD Steps: 1.Graph 1 st equation 2.Graph 2 nd equation 3.Determine the solution (finding where the two lines meet) (0,2)

6 FIND THE SOLUTION(S)

7 Steps 1.Line up like-terms into columns for both equations. 2.Add straight down. 3.Solve for one variable. 4.Plug in new variable value into the 1 st equation. 5.Solve for the 2 nd variable. 6. Check answers. ELIMINATION/ ADDING METHOD

8 Steps: 1.Choose an equation where the variable is isolated. 2.Plug in the equation into the second equation. 3.Solve for the 1 st variable. 4.Plug in new variable value in the second equation. 5. Solve for 2 nd variable. 6. Check answers. SUBSTITUTION METHOD


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