Results 1 to 5 of 5

Math Help - Simultaneous equation problem

  1. #1
    Newbie
    Joined
    Jul 2012
    From
    Hong Kong
    Posts
    18

    Simultaneous equation problem

    Use the method of elimination to solve the following simultaneous equations.
    -5p+q/2=-3/2
    2p+3q/2=4

    What are the following steps?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,236
    Thanks
    29

    Re: Simultaneous equation problem

    To eliminate p, multiply the first equation by two, the second by 5 and add the results.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jul 2012
    From
    Hong Kong
    Posts
    18

    Re: Simultaneous equation problem

    -5p+q/2=-3/2......(1)
    2p+3q/2=4......(2)

    (1)x2
    (-5p)x2+(q/2)x2=(-3/2)x2
    -10p+q=-3

    (2)x5
    (2p)x5+(3q/2)x5=(4)x5
    10p+15q/2=20

    (-10p+q)+(10p+15q/2)=-3+20
    16q/2=17
    ??
    Last edited by william24; August 20th 2012 at 03:36 AM.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,236
    Thanks
    29

    Re: Simultaneous equation problem

    \left( -10p+q \right) + \left( 10p+\frac{15q}{2} \right)= \left( -10p+\frac{2q}{2} \right) + \left( 10p+\frac{15q}{2} \right) = \frac{17q}{2}

    Then

     \frac{17q}{2} = 17 \implies q=2
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Newbie
    Joined
    Jul 2012
    From
    Hong Kong
    Posts
    18

    Re: Simultaneous equation problem

    Thx for ur help.
    My answer booklet's answer is q=-2 and p=1
    After I follow ur method to do, I also got the q=2 answer.
    Is there are somethin' wrong??
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Simultaneous Exponential Equation Problem
    Posted in the Algebra Forum
    Replies: 1
    Last Post: May 1st 2011, 11:58 PM
  2. simultaneous equation problem
    Posted in the Calculus Forum
    Replies: 2
    Last Post: January 8th 2011, 09:11 PM
  3. Simultaneous equation (?) word problem
    Posted in the Algebra Forum
    Replies: 5
    Last Post: November 2nd 2010, 11:48 AM
  4. Simultaneous equation word problem
    Posted in the Algebra Forum
    Replies: 5
    Last Post: September 27th 2009, 07:19 AM
  5. Simultaneous Equation Problem...
    Posted in the Algebra Forum
    Replies: 3
    Last Post: August 8th 2009, 08:12 AM

Search Tags


/mathhelpforum @mathhelpforum