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Q01. 2x+y+z=8,5x- 3y+2z=3,7x+y+3z=20?

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Q01. 2x+y+z=8,5x- 3y+2z=3,7x+y+3z=20?

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  1. 2x + y + z    = 8

    5x - 3y + 2z  = 3

    7x + y + 3z   = 20

    ------------------------------

    z = 8 - 2x - y, so

    5x - 3y + 2(8 - 2x - y) = 3

    7x + y + 3(8 - 2x - y) = 20

    ------------------------------------

    5x - 3y + 16 - 4x - 2y = 3

    7x + y + 24 - 6x -3y = 20

    --------------------------------------...

    x - 5y = -13

    x - 2y = -4

    -------------------------

    -3y = -9

    y = 3

    x - 2(3) = -4

    x = 2

    2(2) + 3 + z = 8

    4 + 3 + z = 8

    z = 1

      


  2. 2x+y+z=8

    5x- 3y+2z=3

    7x+y+3z=20

    y=8-2x-z

    5x-3(8-2x-z)+2z=3

    5x-24+6x+3z+2z=3

    11x+5z=27

    z= 27/5-11x/5

    7x+(8-2x-27/5+11x/5)+3(27/5-11x/5)=20

    7x+8-2x-27/5+11x/5+81/5-33x/5=20

    3/5x=6/5

    x=2

    z=27/5-11*2/5=1

    y=8-2*2-1=3

  3. (1)-(3):  -5x-2z=-12  (4)

    3*(1)+(2): 11x+5z=27 (5)

    then u can sovle x and z....

    x=-7/4;y=9/4;z=37/4

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