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**6-3 solving systems using elimination**

Objective: solve systems of linear equations using elimination Miss battaglia – algebra 1 cp

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Warm up Complete the statements with one solution, no solution, or infinitely many solutions. If 2 linear equations have the same slope, they have If 2 linear equations have the same slope and same y- intercept, they have . If 2 linear equations have the different slopes, they have .

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**Adding or subtracting equations**

When both linear equations of a system are in the form Ax + By = C you can solve the system using elimination. 5x – 6y = -32 3x + 6y = 48

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basketball 292 tickets were sold for a high school basketball game. An adult ticket costs $3 and a student ticket costs $1. Ticket sales were $470. Use a system of linear equations to find the number of each type of ticket sold.

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**example Should you add or subtract to solve?**

a – b = 8 b. -3x +2y = c. m + t = 6 a + 2b = x – 2y = m + t = 14

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sales Suppose your class receives $1084 for selling 205 packages of greeting cards and gift wrap. Let w = the number of packages of gift wrap sold and c = the number of packages of greeting cards sold. Use a system of equations to find the number of each type of package sold.

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**Can I eliminate a variable by adding or subtracting?**

Plan a strategy… Can I eliminate a variable by adding or subtracting? yes Do it. Do it. yes Can I multiply one of the equations by a number, and then add or subtract the equation? no Multiply both equations by different numbers. Then add or subtract the equation. no

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**Work with a partner… Suppose you want to solve this 3x – 2y = 6**

system using elimination. 5x + 7y = 41 What would you multiply each equation by to eliminate x? What would you multiply each equation by to eliminate y? Solve the system using elimination. Be sure to check your solution!

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homework Pg # 11 – 25 odd

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Do Now Solve using elimination: 3x + 2y = – 19 – 3x – 5y = 25.

Do Now Solve using elimination: 3x + 2y = – 19 – 3x – 5y = 25.

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