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Math Help - Simultaneous equations

  1. #1
    abc
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    Simultaneous equations

    Qs= -8+2p
    Qd= -35 -4p

    I have to find out hat "p" is. SO normally i would times the top one by 2 to cancel out the bottom one but its - . can i times the top by - 2 but then how can find what p is. Is there a another way to find P.

    I would really appreciate your help.
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  2. #2
    GAMMA Mathematics
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    Quote Originally Posted by abc View Post
    Qs= -8+2p
    Qd= -35 -4p

    I have to find out hat "p" is. SO normally i would times the top one by 2 to cancel out the bottom one but its - . can i times the top by - 2 but then how can find what p is. Is there a another way to find P.

    I would really appreciate your help.
    If you let Q_s = Q_d, then this is just a system of linear equations:

    Q_d = -8 + 2p
    Q_d = -35 - 4p

    They equal each other, so:

    2p - 8 = -35 - 4p
    p = \frac{-9}{2}

    Now, if d and s are just coefficients, then you solve it just like you said:

      (Dq = -8 + 2p)*2
    + (Sq = -35 - 4p)
    ========================
    (D+S)q=-43

    q=\frac{-43}{D+S}

    Now, plug q back into one of your equations. Has this helped you?
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