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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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