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DragonFlame

  • 11 months ago

Solve, using the substitution method. 4x + 2y = 11 x – 2 = – 2y

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  1. DragonFlame
    • 11 months ago
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    Is \[2y=11-4x\] Right?

  2. Potatoes.ramu
    • 11 months ago
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    Multiply the second equation by 2

  3. Potatoes.ramu
    • 11 months ago
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    and then subtract it from the first

  4. DragonFlame
    • 11 months ago
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    Ok, so \[2x-4=-4y?\]

  5. Potatoes.ramu
    • 11 months ago
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    Wait.. actually multiply the second equation by 4. That way you eliminate the x term

  6. DragonFlame
    • 11 months ago
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    \[4x-8=-8y\]

  7. DragonFlame
    • 11 months ago
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    How would I subtract it from the first equation? X becomes eliminated than what?

  8. DragonFlame
    • 11 months ago
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    @hartnn

  9. Potatoes.ramu
    • 11 months ago
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    When x is eliminated, you can find the y term

  10. hartnn
    • 11 months ago
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    substitution method. (not elimination method) 4x + 2y = 11 x – 2 = – 2y (find 'x' from here, by adding 2 on both sides)

  11. Potatoes.ramu
    • 11 months ago
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    Once you find the y term, you can substitute it in any of the above equations, and then you get x.

  12. DragonFlame
    • 11 months ago
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    x=y?

  13. DragonFlame
    • 11 months ago
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    So 6y=11?

  14. Potatoes.ramu
    • 11 months ago
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    @hartnn you'll still have the y term

  15. hartnn
    • 11 months ago
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    x – 2 = – 2y x = 2-2y plug this in 1st equation 4(2-2y) +2y =11 simplify and get y

  16. hartnn
    • 11 months ago
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    ask if you don't get that ^

  17. Potatoes.ramu
    • 11 months ago
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    @hartnn , but can't you solve it using elimination as well?

  18. DragonFlame
    • 11 months ago
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    8-8y+2y=11

  19. DragonFlame
    • 11 months ago
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    -10y=3?

  20. hartnn
    • 11 months ago
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    the system can be solved by elimination method, but since the question specifically asks for substitution, we need to use substitution

  21. hartnn
    • 11 months ago
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    -8y +2y = ... ?

  22. DragonFlame
    • 11 months ago
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    6y

  23. DragonFlame
    • 11 months ago
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    8-6y=11 -6y=3 y=-1/2

  24. hartnn
    • 11 months ago
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    YES :)

  25. hartnn
    • 11 months ago
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    now find x

  26. DragonFlame
    • 11 months ago
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    Okkkkk :)

  27. DragonFlame
    • 11 months ago
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    x=3

  28. DragonFlame
    • 11 months ago
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    So its this bit.ly/1ewUix3

  29. hartnn
    • 11 months ago
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    \(\huge \checkmark \)

  30. DragonFlame
    • 11 months ago
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    (3,-1/2) Right?

  31. hartnn
    • 11 months ago
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    yes, it is correct.

  32. DragonFlame
    • 11 months ago
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    Thanks! Should I give the medal to potatoes or you? He tried... but you helped

  33. hartnn
    • 11 months ago
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    i'm not here for medals. you understand thats my medal :)

  34. DragonFlame
    • 11 months ago
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    :D

  35. Potatoes.ramu
    • 11 months ago
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    Also.. I'm a she :) And my method was wrong for this problem! Sorry!

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