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Thread: Solve it :-

  1. #1
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    Solve it :-

    Sponsored Ad:
    I am trying to simplify the following equation:

    [3(x + 2) + 2x] - [4(y + 2) - 3(y - 2)]

    This is how I'm processing it:

    [3x + 6 + 2x] - [4y + 8 - 3y + 6]
    [5x + 6] - [14 + y]
    5x + 6 - 14 + y = 5x + y -8

    However, the text gives the answer as:

    5x - y - 8

    So what am I doing wrong? Thanks.

  2. #2
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    When you reached here:

    [5x + 6] - [14 + y]
    5x + 6 - 14 + y = 5x + y -8

    You did not distribute the negative one to y.

    So, it should be:

    5x + 6 - 14 - y = 5x - y -8

  3. #3
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    Quote Originally Posted by Architect View Post
    When you reached here:

    [5x + 6] - [14 + y]
    5x + 6 - 14 + y = 5x + y -8

    You did not distribute the negative one to y.

    So, it should be:

    5x + 6 - 14 - y = 5x - y -8
    Can you explain it in broad way ????????
    por favor, el seņor it will help me in solving other questions.
    Thanks .

  4. #4
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    Good post? Yes | No
    I'll try my best Herr or Frau Amit.

    [3(x + 2) + 2x] - [4(y + 2) - 3(y - 2)]

    First we do our order of operations:
    ______________
    P
    arenthesis
    E
    xponents
    M-D: multiplication and division
    A-S: addition and subtraction
    ______________

    So, in our equation: [3(x + 2) + 2x] - [4(y + 2) - 3(y - 2)] , we have P, M, and A-S

    First tackle the parenthesis'

    [3(x + 2) + 2x]

    Distribute 3 to (x+2) by multiplication and end up with:

    [3x+6+2x].

    Same Here:[4(y + 2) - 3(y - 2)]. Distrubte 4 to (y+2) and 3 to (y-2) by multiplication and receive:

    [(4y+8)-(3y-6)] But notice the negative in front of (3y-6). You should treat it as -1(3y-6) //this is where you messed up.

    so distribute -1 to (3y-6) by multiplication and get:

    [(4y+8)+(-3y+6)]
    ______________

    Now we do addition (or subtraction) of like terms:

    [3x+6+2x] 3x and 2x are like terms so add.

    [5x+6]

    Now [(4y+8)+(-3y+6)]: 4y and -3y are like terms, add. 8 and 6 are like terms, add.

    [y+14]
    ________

    Now we do the final calculation:

    [5x+6]-[y+14] : Notice you have that pesky negative infront of [y+14] again. treat it as -1(y+14)

    distrubte -1 to (y+14) by multiplication

    [-y-14]

    add like terms

    5x-y-8

    If I did not explain it well, please tell me which part. or if you would like another example.

    Enjoy, or don't

  5. #5
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    [3(x + 2) + 2x] - [4(y + 2) - 3(y - 2)]

    = [ 3x + 6 - 4y - 8 - 3y + 6]
    = [ 3x -7y +4]

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