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Graph y 2x y x 3

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Graph y 2x y x 3

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    1. Graph y = 2x & y = x + 3

    2. Graph x - y = 2 & 2x + y = 1 y = x - 2 & y = -2x + 1

    3. Check this out Now Consider what happens when we add the two equations y = 2x y = x + 3

    4. Graph 2y = 3x + 3 or y = 3/2x + 3/2

    5. Graph 2y = 3x + 3

    6. Objective To be able to solve a system of equations by using the linear combination (add) method

    7. 1.) Solve by Addition (elimination) 2x + 3y = 7 x - 3y = 8

    8. 1.) Solve by Addition (elimination) 2x + 3y = 7 2(5) + 3y = 7 10 + 3y = 7

    9. 2.) Solve by Addition (elimination) 3a = 2b + 7 2b = 9 - a

    10. 2.) Solve by Addition (elimination) 3a - 2b = 7 a +2b = 9

    11. 2.) Solve by Addition (elimination) 2b = 9 - a 2b = 9 -(4) 2b = 5 b = 5/2

    12. 3.) You try This one 2x - y = 7 x+ y = 2

    13. 3.) You try this one x + y = 2 (3) + y = 2

    14. Be ready to answer 1.) What are the other two methods of solving two equations? 2.) What do you do, before you add, if the terms of the equation aren’t lined up?

    15. How many solutions do the following equations have? 1.) x = 3y 2x - y = 5 2.) 8x - 4y = -32 -2x + y = 8 One (3,1) Many

    16. How many solutions do the following equations have? 1.) y = 3x -2 3y + 2 = 9x 2.) y = 1/4x + 3 8y - 3x = 12 None One (12,6)

    17. Graph y = 3x + 4

    18. Graph 2x + y = -1 y = -2x + -1

    19. Graph -2x - y = -5 y = -2x + 5

    20. Graph y = 2x & y = x + 3

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