Results 1 to 2 of 2

Math Help - How Do I solve This?

  1. #1
    kap
    kap is offline
    Newbie
    Joined
    Mar 2010
    Posts
    13

    How Do I solve This?

    Hi everyone,

    I am trying to find all the solutions for the following system :

    <br /> <br />
x \equiv 1 (mod 2) <br />
\\<br />
x \equiv 2 (mod 3)<br />
\\<br />
 x \equiv 3 (mod 5)<br />
\\ <br />
x \equiv 5 (mod 7)<br />

    [All the x's begin with new line. I'm finding it hard to include newlines that is why.]
    I learnt it follows the following pattern:

    <br />
x = a_{1}M_{1}y_{1} + a_{2}M_{2}y_{2} + a_{3}M_{3}y_{3} + a_{4}M_{4}y_{4}<br />

    My problem now is how to find the M's and the y's. I am finding it hard to calculate the M's and the y's.

    I need some explanation to solve it.

    Thanks for your help.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    Oct 2009
    Posts
    4,261
    Thanks
    2
    Quote Originally Posted by kap View Post
    Hi everyone,

    I am trying to find all the solutions for the following system :

    <br /> <br />
x \equiv 1 (mod 2) <br />
\\<br />
x \equiv 2 (mod 3)<br />
\\<br />
x \equiv 3 (mod 5)<br />
\\ <br />
x \equiv 5 (mod 7)<br />

    [All the x's begin with new line. I'm finding it hard to include newlines that is why.]
    I learnt it follows the following pattern:

    <br />
x = a_{1}M_{1}y_{1} + a_{2}M_{2}y_{2} + a_{3}M_{3}y_{3} + a_{4}M_{4}y_{4}<br />

    My problem now is how to find the M's and the y's. I am finding it hard to calculate the M's and the y's.

    I need some explanation to solve it.

    Thanks for your help.

    Google "Proof of Chinese Remainder Theorem"

    Tonio
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. need to solve summation equation to solve sum(x2)
    Posted in the Statistics Forum
    Replies: 2
    Last Post: July 16th 2010, 10:29 PM
  2. Replies: 1
    Last Post: June 9th 2009, 10:37 PM
  3. how do i solve this?
    Posted in the Algebra Forum
    Replies: 2
    Last Post: August 2nd 2008, 02:58 PM
  4. how to solve ..
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: August 2nd 2008, 08:17 AM
  5. please help me solve this
    Posted in the Algebra Forum
    Replies: 2
    Last Post: August 1st 2008, 09:50 PM

Search Tags


/mathhelpforum @mathhelpforum