SBMPTN

Pertanyaan

Jika (a+b,a,b) memenuhi sistem persamaan: 3x-y-2z=-1 dan -2x+y+3z=-3 maka a+b=....

2 Jawaban

  • 3(a+b) - a - 2b = 1
    -2(a+b) + a + 3b = -3

    3a + 3b - a - 2b = 1 => 2a + b = 1
    -2a -2b + a + 3b = -3 => -a + b = -3

    3a = 4
    a = 3/4

    -3/4 + b = -3
    b = -2 1/4

    a + b = 3/4 - 9/4 = -1,5
    jadikan jawaban terbaik ya, thx
  • (x, y, z) = (a + b, a, b)
    3x - y - 2z = -1
    3(a + b) - a - 2b = -1
    3a + 3b - a - 2b = -1
    2a + b = -1

    -2x + y + 3z = -3
    -2(a + b) + a + 3b = -3
    -2a - 2b + a + 3b = -3
    -a + b = -3

    Eliminasi
    2a + b = -1
    -a + b = -3
    --------------- -
    3a = 2 => a = 2/3
    -a + b = -3 => b = a - 3 = 2/3 - 3 = -7/3

    a + b = 2/3 + (-7/3) = 5/3

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