SBMPTN

Pertanyaan

jika 3x+2y=4,2x+5y=-1,ax+by=-6,dan ax-by=-2,maka a-b=
(a)-4
(b)-1
(c) 0
(d) 1
(e) 4

2 Jawaban

  • y= -1, x=2
    a=-2, b=2
    a-b= -2-2= -4
    jawabannya A
  • 3x + 2y = 4 |2| 6x + 4y = 8
    2x + 5y = -1 |3| 6x + 15y = -3
    ---------------------------------------- --
    .................................. -11y = 11 => y = -1
    3x + 2y = 4 => 3x + 2(-1) = 4 => 3x = 6 => x = 2

    ax + by = -6
    ax - by = -2
    ---------------- +
    2ax = -8 => 2a(2) = -8 => a = -2
    ax - by = -2 => -2(2) - b(-1) = -2 => -4 + b = -2 => b = 2

    a - b = -2 - 2 = -4

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