Matematika

Pertanyaan

sistem persamaan 2x + 2y = 10 dan 4x -2y = 8. maka nilai 3x + 3y adalah

3 Jawaban

  • Eliminasi persamaan (1) dan (2) :
    2x + 2y = 10
    4x - 2y = 8
    ..........................+
    6x = 18
    x = 3

    Subsitusi x ke salah satu persamaan :
    2x + 2y = 10
    2(3) + 2y = 10
    6 + 2y = 10
    2y = 10 - 6
    2y = 4
    y = 2

    3x + 3y
    =3 (3) + 3 (2)
    = 9 + 6
    = 15
  • 2x +2y=10| *4
    4x - 2y=8 |*2
    8x +8y=40
    8x - 4y=16
    ....................-
    0 +12y=24
    y= 24/12 = 2

    2x + 2y =10 |*1
    4x - 2y = 8 | *-1

    2x + 2y = 10
    -4x +2y = -8
    ......................-
    6x + 0 = 18
    x = 18/6 =3

    3x + 3y =
    3(3) + 3(2) =
    9+6 =15
  • 2x +2y=10| *4
    4x - 2y=8 |*2
    8x +8y=40
    8x - 4y=16
    ....................-
    0 +12y=24
    y= 24/12 = 2

    2x + 2y =10 |*1
    4x - 2y = 8 | *-1

    2x + 2y = 10
    -4x +2y = -8
    ......................-
    6x + 0 = 18
    x = 18/6 =3

    3x + 3y =
    3(3) + 3(2) =
    9+6 =15

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