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Kayasari Ryuunosuke

12/03/2017 at 08:37
Answers
5
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Find three number x,y,z know : \(\dfrac{x-1}{2}=\dfrac{y+3}{4}=\dfrac{z-5}{6}\) and 5z - 3x - 4y = 50 

 




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  • ...
    Kurosaki Akatsu Coordinator 12/03/2017 at 08:42

    Give : \(\dfrac{x-1}{2}=\dfrac{y+3}{4}=\dfrac{z-5}{6}=k\)

    \(\Rightarrow\left\{{}\begin{matrix}x=2k+1\\y=4k-3\\z=6k+5\end{matrix}\right.\)

    Change x,y,z into 5z - 3x - 4y = 50 , we have :

    5(6k + 5) - 3(2k + 1) - 4(4k - 3) = 50

    30k + 25 - 6k - 3 - 16k + 12 = 50 

    8k + 34 = 50

    8k = 16

    => k = 2

    \(\Rightarrow\left\{{}\begin{matrix}x=2k+1=2.2+1=5\\y=4k-3=4.2-3=5\\z=6k+5=6.2+5=17\end{matrix}\right.\)

    Kayasari Ryuunosuke selected this answer.
  • ...
    35 Tiểu Bảo 03/04/2017 at 21:16

    Give : x−12=y+34=z−56=kx−12=y+34=z−56=k

    ⇒⎧⎪⎨⎪⎩x=2k+1y=4k−3z=6k+5⇒{x=2k+1y=4k−3z=6k+5

    Change x,y,z into 5z - 3x - 4y = 50 , we have :

    5(6k + 5) - 3(2k + 1) - 4(4k - 3) = 50

    30k + 25 - 6k - 3 - 16k + 12 = 50 

    8k + 34 = 50

    8k = 16

    => k = 2

    ⇒⎧⎪⎨⎪⎩x=2k+1=2.2+1=5y=4k−3=4.2−3=5z=6k+5=6.2+5=17

  • ...
    hghfghfgh 26/03/2017 at 20:49

    Give : x−12=y+34=z−56=kx−12=y+34=z−56=k

    ⇒⎧⎪⎨⎪⎩x=2k+1y=4k−3z=6k+5⇒{x=2k+1y=4k−3z=6k+5

    Change x,y,z into 5z - 3x - 4y = 50 , we have :

    5(6k + 5) - 3(2k + 1) - 4(4k - 3) = 50

    30k + 25 - 6k - 3 - 16k + 12 = 50 

    8k + 34 = 50

    8k = 16

    => k = 2

    ⇒⎧⎪⎨⎪⎩x=2k+1=2.2+1=5y=4k−3=4.2−3=5z=6k+5=6.2+5=17

  • ...
    →இے๖ۣۜBoy™†hïếuGîa 23/03/2017 at 17:18

    Give : x−12=y+34=z−56=kx−12=y+34=z−56=k

    ⇒⎧⎪⎨⎪⎩x=2k+1y=4k−3z=6k+5⇒{x=2k+1y=4k−3z=6k+5

    Change x,y,z into 5z - 3x - 4y = 50 , we have :

    5(6k + 5) - 3(2k + 1) - 4(4k - 3) = 50

    30k + 25 - 6k - 3 - 16k + 12 = 50 

    8k + 34 = 50

    8k = 16

    => k = 2

    ⇒⎧⎪⎨⎪⎩x=2k+1=2.2+1=5y=4k−3=4.2−3=5z=6k+5=6.2+5=17

  • ...
    Hoang Duc Hai 12/03/2017 at 19:22

    Give : x−12=y+34=z−56=kx−12=y+34=z−56=k

    ⇒⎧⎪⎨⎪⎩x=2k+1y=4k−3z=6k+5⇒{x=2k+1y=4k−3z=6k+5

    Change x,y,z into 5z - 3x - 4y = 50 , we have :

    5(6k + 5) - 3(2k + 1) - 4(4k - 3) = 50

    30k + 25 - 6k - 3 - 16k + 12 = 50 

    8k + 34 = 50

    8k = 16

    => k = 2

    ⇒⎧⎪⎨⎪⎩x=2k+1=2.2+1=5y=4k−3=4.2−3=5z=6k+5=6.2+5=17


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