Matematika

Pertanyaan

kerjakan soal berikut dengan cara subtitusi
1. x = 2y + 7
x+ 3y - 1 =0

2 Jawaban

  • x- 2y= 7
    x +3y= 1
    kayak gini ngga?
  • x = 2y + 7...............(#1)
    x + 3y - 1 = 0 ⇒ x + 3y = 1...........(#2)

    Substitusi (#1) ke (#2)

    x + 3y = 1
    (2y + 7) + 3y = 1
    5y = 1 - 7
    5y = 6
    y = ⁶/₅
    y = 1 ¹/₅

    x + 3y = 1
    x + 3(⁶/₅) = 1
    x + ¹⁸/₅ = 1
    x = ⁵/₅ - ¹⁸/₅
    x = - ¹³/₅
    x = - 2 ³/₅

    Pembuktian :
    x + 3y = 1
    (-¹³/₅) + 3(⁶/₅) = 1
    ¹⁸/₅ - ¹³/₅ = 1
    ⁵/₅ = 1
    1 = 1..........Terbukti

     

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