Results 1 to 3 of 3
Like Tree1Thanks
  • 1 Post By Prove It

Math Help - Simultaneous Equation

  1. #1
    Newbie
    Joined
    May 2010
    Posts
    22
    Thanks
    1

    Simultaneous Equation

    Hi there, I've got a simultaneous equation that I am not sure of how to solve. I have looked at substitution, however I don't know how to reduce one variable to a single without making the rest of the equation look strange. Basically I don't see how to either eliminate one variable, or get one variable to a coefficient of 1.
    Here they are

    90y + 49x= $1746
    62y+43x = $1286

    If you could show me how to either eliminate one variable, or reduce one variable to a coefficient of 1, I'd be able to take the rest from there.

    Thankyou.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,590
    Thanks
    1445

    Re: Simultaneous Equation

    Quote Originally Posted by Tren301 View Post
    Hi there, I've got a simultaneous equation that I am not sure of how to solve. I have looked at substitution, however I don't know how to reduce one variable to a single without making the rest of the equation look strange. Basically I don't see how to either eliminate one variable, or get one variable to a coefficient of 1.
    Here they are

    90y + 49x= $1746
    62y+43x = $1286

    If you could show me how to either eliminate one variable, or reduce one variable to a coefficient of 1, I'd be able to take the rest from there.

    Thankyou.
    To eliminate one of the variables, they need to have the same coefficients. So what is the Lowest Common Multiple of 90 and 62 (if you want to eliminate the y's), or the Lowest Common Multiple of 49 and 43 (if you want to eliminate the x's)?
    Thanks from Tren301
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Joined
    Dec 2007
    From
    Ottawa, Canada
    Posts
    3,108
    Thanks
    68

    Re: Simultaneous Equation

    Quote Originally Posted by Tren301 View Post
    90y + 49x= $1746 [1]
    62y+43x = $1286 [2]
    Divide [1] by 90 and [2] by 62:
    y + 49x/90 = 1746/90 [1]
    y + 43x/62 = 1286/62 [2]
    Subtract 'em to get:
    208x/1395 = 208/155
    Solve for x; then for y : OK?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Simultaneous Equation
    Posted in the Algebra Forum
    Replies: 3
    Last Post: November 6th 2011, 02:40 PM
  2. need help for simultaneous equation
    Posted in the Algebra Forum
    Replies: 1
    Last Post: August 23rd 2009, 10:48 PM
  3. simultaneous equation
    Posted in the Algebra Forum
    Replies: 5
    Last Post: August 18th 2009, 06:26 PM
  4. simultaneous equation
    Posted in the Algebra Forum
    Replies: 1
    Last Post: June 1st 2009, 07:09 PM
  5. Simultaneous Equation: Help please!
    Posted in the Algebra Forum
    Replies: 3
    Last Post: January 27th 2009, 01:47 AM

Search Tags


/mathhelpforum @mathhelpforum