Matematika

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Diketahui spltv
4x+3y+z=16
2x + 7y + 3z=8
X-3y-2z=14

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  • Diketahui spltv
    4x+3y+z=16..............(1)
    2x + 7y + 3z=8........(2)
    X-3y-2z=14..............(3)

    4x+3y+z=16..............(x1
    2x + 7y + 3z=8........(x2

    4x+ 3y+ z=16..............
    4x + 14y + 6z=16........
    ------------------------ -
    ..........-11y -5z =0...............(4)

    2x + 7y + 3z=8........(x1)
    X - 3y - 2z=14..............(x2)

    2x + 7y + 3z=8........
    2X - 6y - 4z=28..............
    ------------------------- -
    ............13y +7z = -20 .........(5)

    -11y -5z =0...............(4)
    13y +7z = -20 .........(5)

    -11y -5z =0...............(x7)
    13y +7z = -20 .........(x 5)

    -77y -35z =0...............(x7)
    65y +35z = -100 .........(x 5)
    -------------------------- +
    -12 y = -100
    y= 100 /12 =25/3

    -11y -5z =0...............(4)
    -11×(25/3) -5z =0
    -11×(25/3) =5z
    -11×(25/3) × 1/5 = z
    -55/3 =z

    X-3y-2z=14..............(3)

    X-3×25/3-2×-55/3=14
    x-25 +110/3 =14
    X = 14 +25 -110/3
    X = 39 -110/3
    X = (117-110) /3= 7/3







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