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Math Help - Simultaneous Equations

  1. #1
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    Simultaneous Equations

    Hi guys,

    I really need some help with this problem, along with working.

    I have done heaps of these but this one keeps giving me issues:

    2x+5y+3z = 16
    x/5+y/2+z/3=2
    3x-2y-4z=-2

    solve for x,y,z
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  2. #2
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    Re: Simultaneous Equations

    Quote Originally Posted by kirshchereza View Post
    Hi guys,

    I really need some help with this problem, along with working.

    I have done heaps of these but this one keeps giving me issues:

    2x+5y+3z = 16
    x/5+y/2+z/3=2
    3x-2y-4z=-2

    solve for x,y,z
    I'd start by multiplying all of the second equation by 5. This will give a single x term. Then make this equation the first row, and it will make eliminating the other x values quite easy. See what you can do.
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  3. #3
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    Re: Simultaneous Equations

    Quote Originally Posted by kirshchereza View Post
    2x+5y+3z = 16 [1]
    x/5+y/2+z/3=2 [2]
    3x-2y-4z=-2 [3]
    [2] * 30: 6x + 15y + 10z = 60
    [1] * -3:-6x - 15y - 9z = -48
    So z = 12 ; continue...
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  4. #4
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    Re: Simultaneous Equations

    Im still confused. I learnt how to do this a different way. anyone willing to give me whole solution so I can learn?
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  5. #5
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    Re: Simultaneous Equations

    Hello, do you know how to solve a matrix? I solved the equations. Do you want me to reveal the solution?
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  6. #6
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    Re: Simultaneous Equations

    Yes please
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  7. #7
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    Re: Simultaneous Equations

    Quote Originally Posted by manouela42 View Post
    Hello, do you know how to solve a matrix? I solved the equations. Do you want me to reveal the solution?
    Don't post a solution until the OP has shown some effort.
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  8. #8
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    Re: Simultaneous Equations

    Well I'm not allowed to post the solution. Try to solve it with matrix. You have to make 4 matrices with the coefficients of unknown variables.
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  9. #9
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    Re: Simultaneous Equations

    Use D (determinants)
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