1. #1
    UntilTheNDofTimE
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    Solve math wuestion for 50 points

    | 3x + 4| = | X -7|

    Ive been helping my cousin with his algebra( its online no book) and i completely forgot the form to solving these. i looked at a few examples but cant figure out how book got its answer. Can you please solve this equation and show steps. The books says answer is -13/54 and -7/54 and i get a different answer.

  2. #2
    opie1988
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    That's a difficult "wuestion".

    I can't even make a wuess as to what the wanswer to this wuestion may be.

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  3. #3
    Mitchell88
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    x=7

  4. #4
    encore_
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    | 3x + 4| = | X -7|

    3x = X - 11
    2x = -11
    x = -11/2 aka -5.5

  5. #5
    Chi_archie
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    i'm horrible at math and the bracket things throw me

    I get x= -5.5 but i'm sure i'm wrong

    if any geniufs get this wuestion right they should go to Vefas and count cards in blackjack

  6. #6
    Wulfman14
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    answer is -5.5.

    -12.5 = -12.5

    absolute value makes it 12.5= 12.5

    equation is quite simple
    3x+4 = 1x-7
    2x+4= -7
    2x = -7-4
    2x = -11
    x= -11/2 = -5.5


    if you fill in -5.5 in the equation it comes out to -12.5 = -12.5

  7. #7
    UntilTheNDofTimE
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    I got 11/2 i guess i should of just ignored books answer.

  8. #8
    The Kraken
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    Remove the absolute value bars and apply the distributive property

  9. #9
    Wulfman14
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    book is wrong completely . if you fill in x with the book's variables you dont get the equation equal.

  10. #10
    Wulfman14
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    Quote Originally Posted by UntilTheNDofTimE View Post
    I got 11/2 i guess i should of just ignored books answer.
    thats right brother. those end of the book answers ain't always right

  11. #11
    The Kraken
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    My wuess is as follows

    x= 3/4 or -11/2
    Points Awarded:

    UntilTheNDofTimE gave The Kraken 48 SBR Point(s) for this post.


  12. #12
    tto827
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    The two answers are -5.5 and .75. The values the books give aren't correct, plug them in and it doesn't work. The people who only got -5.5 just ignored the absolute value which you obviously can't do.

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    tto827
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  14. #14
    gryfyn1
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    Quote Originally Posted by The Kraken View Post
    My wuess is as follows

    x= 3/4 or -11/2
    That is correct, with absolute value on both sides of the equation you will need so solve the 4 variation of this probelm, with all the variations of the sides being positive or negative; and solve the equations as normal

    (3x+4)=(x+7); x=-5.5
    -(3x+4)=(x+7); x= 3/4
    (3x+4)=-(x+7); x= 3/4
    -(3x+4)=-(x+7); x= -5.5

  15. #15
    The Kraken
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    |3x+4|=|x-7|
    3x+4=-(x-7)
    3x+4=-x+7
    4x=3
    x=3/4

    or

    3x+4=x-7
    2x+4=-7
    2x=-11
    x=-11/2

  16. #16
    opie1988
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    Wukk it!

    I wive up.

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  17. #17
    Wulfman14
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    yes you must negate the equations (cuz its absolute value) so 3/4 is another correct answer. i apologize
    give kraken the pts

  18. #18
    UntilTheNDofTimE
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    Quote Originally Posted by tto827 View Post
    The two answers are -5.5 and .75. The values the books give aren't correct, plug them in and it doesn't work. The people who only got -5.5 just ignored the absolute value which you obviously can't do.
    Thanks i got this as well.

    Equation becomes

    3x + 4= x-7 or 3x+4= -x+7

  19. #19
    tto827
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    Quote Originally Posted by UntilTheNDofTimE View Post
    Thanks i got this as well.

    Equation becomes

    3x + 4= x-7 or 3x+4= -x+7
    Welcome. You'd also have to try -3x-4=x-7, but in this scenario that also comes out to 3/4. With absolute values on both sides, there are more than 2 possible solutions.

  20. #20
    UntilTheNDofTimE
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    Quote Originally Posted by tto827 View Post
    Welcome. You'd also have to try -3x-4=x-7, but in this scenario that also comes out to 3/4. With absolute values on both sides, there are more than 2 possible solutions.

    I feel like a real dumbass cause i got -11/2 and 3/4 before i even posted this Q on here but when i plugged it in it came out wrong cause i plugged -5.5 on the left side equation and 3/4 on the right side thinking that was how you checked it. Thats why i thought book may be right. Anyways thanks a lot guys. Havent done math in 7 years. Glad im not back in school.

  21. #21
    RichA
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    .

    thats a hard question but seems you got the answer considering Im late

  22. #22
    RichA
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    Quote Originally Posted by opie1988 View Post
    That's a difficult "wuestion".

    I can't even make a wuess as to what the wanswer to this wuestion may be.
    lmfao

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