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Math Help - Simultaneous equation

  1. #1
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    Simultaneous equation

    px + 4y = 8
    6x + 2y =q

    p and q are real munbers



    Do i slove this equation like a regular simultaneous equations???
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  2. #2
    MHF Contributor Siron's Avatar
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    Re: Simultaneous equation

    Use substitution, rewrite one of the equations for example: px+4y=8  \Leftrightarrow x=\frac{8-4y}{p}
    Substitute x in the other equation and solve for y.
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  3. #3
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    Re: Simultaneous equation

    ok so x= 8-4y
    p

    when Sub back into equation
    would this be the end answer

    24y + 2y = q - 48
    26y = q - 48
    y = q - 48/ 26




    IS this correct???????????
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  4. #4
    MHF Contributor Siron's Avatar
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    Re: Simultaneous equation

    We know that:
    x=\frac{8-4y}{p}

    If we substitute this into the other equation we obtain:
    6\left(\frac{8-4y}{p}\right)+2y=q
    \Leftrightarrow \frac{48-24y+2py}{p}=q
    \Leftrightarrow 48+y(-24+2p)=pq
    \Leftrightarrow y=\frac{pq-48}{2p-24}
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  5. #5
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    Re: Simultaneous equation

    ok thanks i fully understanded now.
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  6. #6
    MHF Contributor Siron's Avatar
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    Re: Simultaneous equation

    You're welcome!
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