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DragonFlame Group Title

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

  • 8 months ago
  • 8 months ago

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  1. DragonFlame Group Title
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    Is \[2y=11-4x\] Right?

    • 8 months ago
  2. Potatoes.ramu Group Title
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    Multiply the second equation by 2

    • 8 months ago
  3. Potatoes.ramu Group Title
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    and then subtract it from the first

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

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

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

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

    • 8 months ago
  8. DragonFlame Group Title
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    @hartnn

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

    • 8 months ago
  10. hartnn Group Title
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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)

    • 8 months ago
  11. Potatoes.ramu Group Title
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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.

    • 8 months ago
  12. DragonFlame Group Title
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    x=y?

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

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

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

    • 8 months ago
  16. hartnn Group Title
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    ask if you don't get that ^

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

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

    • 8 months ago
  19. DragonFlame Group Title
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    -10y=3?

    • 8 months ago
  20. hartnn Group Title
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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

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

    • 8 months ago
  22. DragonFlame Group Title
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    6y

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

    • 8 months ago
  24. hartnn Group Title
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    YES :)

    • 8 months ago
  25. hartnn Group Title
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    now find x

    • 8 months ago
  26. DragonFlame Group Title
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    Okkkkk :)

    • 8 months ago
  27. DragonFlame Group Title
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    x=3

    • 8 months ago
  28. DragonFlame Group Title
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    So its this bit.ly/1ewUix3

    • 8 months ago
  29. hartnn Group Title
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    \(\huge \checkmark \)

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

    • 8 months ago
  31. hartnn Group Title
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    yes, it is correct.

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

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

    • 8 months ago
  34. DragonFlame Group Title
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    :D

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

    • 8 months ago
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