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03_systems_elimination.notebook 1 January 30, 2015 Warm up Solve the system of equations using substitution. CHECK YOUR ANSWER using graphing. y = x - 10 5x - y = -6 x + 6y = 14 -x + 3y = 4

03 systems elimination.notebookbarakeymath.weebly.com/.../03_systems_elimination.pdf · 2018-09-09 · 03_systems_elimination.notebook 6 January 30, 2015 Using elimination to solve

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Page 1: 03 systems elimination.notebookbarakeymath.weebly.com/.../03_systems_elimination.pdf · 2018-09-09 · 03_systems_elimination.notebook 6 January 30, 2015 Using elimination to solve

03_systems_elimination.notebook

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January 30, 2015

Warm upSolve the system of equations using substitution. CHECK YOUR ANSWER using graphing.

y = x - 10

5x - y = -6

x + 6y = 14

-x + 3y = 4

Page 2: 03 systems elimination.notebookbarakeymath.weebly.com/.../03_systems_elimination.pdf · 2018-09-09 · 03_systems_elimination.notebook 6 January 30, 2015 Using elimination to solve

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Page 3: 03 systems elimination.notebookbarakeymath.weebly.com/.../03_systems_elimination.pdf · 2018-09-09 · 03_systems_elimination.notebook 6 January 30, 2015 Using elimination to solve

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Using elimination to solve systems of equations.

3x - 2y = 4

4x + 2y = 10Look for terms that are opposites, then add the equations together.

7x = 14x = 2 Solve the equation for the variable.

Now use the value for x to find y.

3(2) - 2y = 4

6 - 2y = 4

-2y = -2

y = 1Don't forget to check your solution!

Page 7: 03 systems elimination.notebookbarakeymath.weebly.com/.../03_systems_elimination.pdf · 2018-09-09 · 03_systems_elimination.notebook 6 January 30, 2015 Using elimination to solve

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8x + y = 1

8x - 3y = 3

Sometimes you don't have opposite terms.

So, make them opposite -

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2x + 3y = 5

5x + 4y = 16

Page 9: 03 systems elimination.notebookbarakeymath.weebly.com/.../03_systems_elimination.pdf · 2018-09-09 · 03_systems_elimination.notebook 6 January 30, 2015 Using elimination to solve

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4x - 3y = 12

x + 2y = 14

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Homework

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