Three equations, three unknowns

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  1. Gorrilaz's Avatar
    • Full Member
    • Posts: 88
    Three equations, three unknowns
    x+3y=2
    -2x+3y+z=-1
    y+z=-1

    z=-1-y
    x=2-3y

    -2(2-3y)+3y+(-1-y)=-1
    8y-5=-1
    y=2

    z=-1-2
    z=-3

    x=2-3(2)
    x=-4

    Can anyone see where I have gone wrong as my answers do not match the equations if plugged back in.
    Last edited by Gorrilaz; 07-05-2012 at 01:18.
  2. FloydHead's Avatar
    • Respected Member
    • Posts: 166
    Re: Three equations, three unknowns
    (Original post by Gorrilaz)
    x+3y=2
    -2(2-3y)+3y+(1-y)=-1
    8y-5=-1
    You messed up here.

    When you multiply out the brackets, you should have gotten:
    -4 + 6y + 3y + 1 - y = -1

    which simplifies to

    8y - 3 = -1
  3. Gorrilaz's Avatar
    • Full Member
    • Posts: 88
    Re: Three equations, three unknowns
    (Original post by FloydHead)
    You messed up here.

    When you multiply out the brackets, you should have gotten:
    -4 + 6y + 3y + 1 - y = -1

    which simplifies to

    8y - 3 = -1
    No sorry it was actually-4+6y+3y-1-y=-1

    As z=-1 -y I just write that part wrong.
  4. F1Addict's Avatar
    • Peer Of The TSR Realm
    • Posts: 1,754
    Re: Three equations, three unknowns
    (Original post by Gorrilaz)
    8y-5=-1
    y=2
    Your mistake is above. 8*2 does not equal 4.
  5. Gorrilaz's Avatar
    • Full Member
    • Posts: 88
    Re: Three equations, three unknowns
    (Original post by F1Addict)
    Your mistake is above. 8*2 does not equal 4.
    Haha wow how did it take me so long to spot.
    Thanks for your help
  6. F1Addict's Avatar
    • Peer Of The TSR Realm
    • Posts: 1,754
    Re: Three equations, three unknowns
    (Original post by Gorrilaz)
    Haha wow how did it take me so long to spot.
    Thanks for your help
    You're welcome.

    Sometimes the simplest things are hardest to spot.
  7. AtomSmasher's Avatar
    • Exalted Member
    • Posts: 251
    Re: Three equations, three unknowns
    Unless I'm badly mistaken, you can find all 3 variables from the first 3 equations given. Or is this one of those questions where you have to do it a given way?
  8. F1Addict's Avatar
    • Peer Of The TSR Realm
    • Posts: 1,754
    Re: Three equations, three unknowns
    (Original post by AtomSmasher)
    Unless I'm badly mistaken, you can find all 3 variables from the first 3 equations given. Or is this one of those questions where you have to do it a given way?
    The equations after the first 3 are working out, they're just rearranged to make x and z in terms of y.
  9. fire sale's Avatar
    • New Member
    • Posts: 20
    Re: Three equations, three unknowns
    I've been trying this another way but I just can't get to y = 2. Even when I put y = 2 to get x and z I get values that don't work out. Where am I going wrong?! Are y'all sure these equations are self consistent?????
  10. Gorrilaz's Avatar
    • Full Member
    • Posts: 88
    Re: Three equations, three unknowns
    (Original post by fire sale)
    I've been trying this another way but I just can't get to y = 2. Even when I put y = 2 to get x and z I get values that don't work out. Where am I going wrong?! Are y'all sure these equations are self consistent?????
    y=0.5 i did it wrong lol
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