Matematika

Pertanyaan

Tentukan penyelesaian sistem persamaan brikut dengan metode subtitusi untuj x y e r
9. 3x + y = 7 dan 5x - 3y = 7
10. 2x - y = 18 dan 3x + 4y = 5

2 Jawaban

  • no. 9) 3x + y = 7 》 y = 7 - 3x
    5x - 3y = 7
    5x - 3(7 - 3x) = 7
    5x - 21 + 9x = 7
    5x + 9x = 7 + 21
    14x = 28
    x = 28/14 = 2
    tinggal mencari y nya :
    3x + y = 7
    3(2) + y = 7
    6 + y = 7
    y = 7-6 = 1

    no. 10) 2x - y = 18 》 y = 2x-18
    3x + 4y = 5
    3x + 4(2x-18) = 5
    3x + 8x - 72 = 5
    3x + 8x = 5+72
    15x = 77
    x = 77/15
    tinggal mencari y nya :
    2x - y = 18
    2(77/15) - y = 18
    154/15 - y = 18
    -y = 18 - 154/15
    y = 154/15 - 18
    sayang angkanya gk enak
  • Materi : SPLDV

    METODE SUBSTITUSI !
    ◆◆◆◆◆◆◆◆◆◆◆◆◆◆◆◆◆

    9. [][][]
    3x + y = 7 ....... [1]
    5x - 3y = 7 ..... [2]

    》3x + y = 7
    》y = 7 - 3x

    Substitusi ke persamaan 2 !
    》5x - 3y = 7
    》5x - 3(7 - 3x) = 7
    》5x - 21 + 9x = 7
    》14x = 7 + 21
    》14x = 28
    》x = 2

    Substitusi Nilai x kesalah-satu persamaan !
    》y = 7 - 3x
    》y = 7 - 3(2)
    》y = 7 - 6
    》y = 1

    Hp = {2 , 1}



    10. [][][]
    2x - y = 18 ........ [1]
    3x + 4y = 5 ...... [2]

    》2x - y = 18
    》-y = 18 - 2x
    》y = -18 + 2x

    Substitusi Ke persamaan 2 !

    》3x + 4y = 5
    》3x + 4(-18 + 2x) = 5
    》3x - 72 + 8x = 5
    》11x = 5 + 72
    》11x = 77
    》x = 7

    Substitusi Nilai x kesalah-satu persamaan !

    》y = -18 + 2x
    》y = -18 + 2(7)
    》y = -18 + 14
    》y = -4

    Hp = {7 , -4}

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