Results 1 to 3 of 3

Thread: Simultaneous equations in matrices

  1. #1
    Newbie
    Joined
    May 2009
    Posts
    1

    Exclamation Simultaneous equations in matrices

    Hi

    I'm having a little problem solving simultaneous equations in matrices.

    2b + t = 14
    5b + 5t = 40

    [2 1] [b] [14]
    [5 5] [t] [40]

    1
    _____
    ad-bc

    =

    1
    _____
    (2x5) - (1x5) = 5

    [5 -1] [14]
    [-5 2] [40]

    Then how do I go from there to get:

    x(b) = 6
    y(t) = 2

    I just don't know how to do it
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Mar 2007
    Posts
    1,240

    Talking

    What is that you're doing? Are you supposed to solve by using some particular method? Are you maybe using Cramer's Rule...?

    Thank you!
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member Showcase_22's Avatar
    Joined
    Sep 2006
    From
    The raggedy edge.
    Posts
    782
    \begin{pmatrix}<br />
2&1\\<br />
5&5<br />
\end{pmatrix} \begin{pmatrix}<br />
b\\<br />
t<br />
\end{pmatrix}=\begin{pmatrix}<br />
14\\<br />
40<br />
\end{pmatrix}

    \begin{pmatrix}<br />
b\\<br />
t<br />
\end{pmatrix}=\frac{1}{5} \begin{pmatrix}<br />
5&{-1}\\<br />
{-5}&{2}<br />
\end{pmatrix}\begin{pmatrix}<br />
14\\<br />
40<br />
\end{pmatrix}

    can you solve it from there?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. simultaneous equations/matrices
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: Sep 18th 2010, 01:23 PM
  2. Replies: 1
    Last Post: Apr 18th 2010, 08:09 AM
  3. Simultaneous equations/Matrices...
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: Jan 15th 2010, 03:48 AM
  4. Solving Simultaneous Equations Using Matrices
    Posted in the Algebra Forum
    Replies: 2
    Last Post: Jan 15th 2009, 01:15 AM
  5. Solving Simultaneous Equations Using Matrices
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: Jan 14th 2009, 02:45 PM

Search Tags


/mathhelpforum @mathhelpforum