Matematika

Pertanyaan

diketahui sistem persamaan linear berikut:
2x+3y-z=5
x+y+z=9
x-2y-z=-7

1 Jawaban

  • x+y+z+=9
    x=9-y-z

    2x+3y-z=5
    2(9-y-z)+3y-z =5
    18-2y-2z+3y-z=5
    y-3z=-13
    y=-13+3z

    x-2y-z = -7
    (9-y-z) - 2y-z = -7
    (9-(-13+3z)-z) - 2(-13+3z) - z = -7
    -11z = -55
    z=5

    y = -13+3z = -13+3(5) = 2
    x = (9 -y-z) = (9-2-5) = 2

    jadi x= 2, y = 2, z=5

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