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Applied Mathematics
 Online Tutoring : Forum : Homework Help - Mathematics : Applied Mathematics
Topic Topic: Persamaan Serentak Post ReplyNew Question
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Suaiza7
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Posted: 26 September 2007 at 5:11pm | IP Logged Quote Suaiza7

Hai semua,

Boleh tak tolong ajar mcmana nak selesaikan persamaan serentak ni..

Soalannya:

Selesaikan  persamaan serentak dengan menggunakan kaedah songsangan.

 x    -2z     =  1

 4x - 2y + z = 2

 x  + 2y - 10z = 1

Terima kasih

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Alianna22
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Posted: 26 October 2007 at 11:16am | IP Logged Quote Alianna22

x +0y -2z = 1

4x -2y +z = 2

x + 2y -10z = 1

 

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Amitjha
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Posted: 29 October 2007 at 2:02am | IP Logged Quote Amitjha

i cant understand your language pls . Can u write in English?

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123456
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Posted: 29 October 2007 at 4:33pm | IP Logged Quote 123456

i think most probably is like that....

x    -2z     =  1           ;         (1)

4x - 2y + z = 2                   (2)

 x  + 2y - 10z = 1               (3)

i take (2,3)

4x - 2y + z = 2

x + 2y - 10z = 1        (Both Add Together to take Y away)

 => 5x -9z = 3    (then take this and make it with (1))

  => 5x -9z =3

       x-2z = 1 (change to 5x = 10z = 5,multiply by 5)

 => 5x-9z = 3

       5x -10z = 5       (minus each other to find z)

=>  z = -2

-> 5x -9(-2) = 3 ( substitute -2 into z)

    5x + 18 = 3

    x = -3

=> (-3) +2y -10 (-2) = 1    (substitute -3 = x,-2 = z)
    -3 + 2y +20 = 1
    2y = -16
    y = -8

Therefore, x=-3 , y=-8 , z=-2

Correct me if i'm wrong..thank you
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Amitjha
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Posted: 08 November 2007 at 10:46pm | IP Logged Quote Amitjha

can it be solved with the help of determinants method?

 



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True_na
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Posted: 21 December 2007 at 3:31pm | IP Logged Quote True_na

to check the answer; put in all the values into equation (1) , (2) and (3)

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