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3-2 Day 2 Solving Systems Algebraically: Elimination Method Objective: I can solve a system of equations using the elimination method.

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Elimination Method Steps: 1.Equations need to be written in standard form. 2.Multiply one or both equations so that one variable in each equation has the same coefficient but opposite signs. 3.Add the two equations together to eliminate one variable and solve. 4.Substitute this value into one of the original equations and solve. 5.CHECK YOUR ANSWERS

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Examples

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Solve the following systems Dependent system. Infinitely many solutions. Inconsistent system. No solutions. Dependent system. Infinitely many solutions.

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You and your friend are saving for a vacation. You start with the same amount and save for the same number of weeks. You save $100 per week and your friend saves $75 per week. When the vacation time comes, you have $1,150 and your friend has $1,000. How much did you start with and for how many weeks did you save? x = Amount you started with y = # of weeks you saved W.S. Solving Systems of Equations

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