Matematika

Pertanyaan

tentukan himpunan penyelesian SPLDV dengan cara subsitusi
a.4x+2y=8 dan x-2y=4
b.5a- b=3 dan a+b=2

1 Jawaban

  • a)
    4x + 2y = 8 ...(i)
    x - 2y = 4  atau x = 2y + 4 sub ke (i)
    4(2y +4) = 8
    8y + 16 = 8
    8y = -8
    y = - 1

    x = 2y + 4
    x = 2(-1) + 4 = -2 + 4
    x = 2

    (x,y) = (2, - 1)

    (b)
    5a - b = 3  atau b = 5a - 3 sub ke  a +  b =  2
    a + 5a - 3 = 2
    6a = 5
    a = 5/6

    b  = 5a - 3
    b = 5(5/6) - 5
    b = 25/6 - 5
    b = -5/6

    (a, b) = ( 5/6, - 5/6)

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