Matematika

Pertanyaan

Tentukan himpunan penyelesaian dari spldv berikut ini
a.3x+2y=5
2x+y=1
b.2x+y=8
3x+y=12
c.x+y=7
3x+2y=1
d.3x+4y=10
4x-5y=34

1 Jawaban

  • a.
    3x + 2y = 5
    2x + y = 1

    2x + y = 1
    y = 1 - 2x

    3x + 2y = 5
    3x + 2(1 - 2x) = 5
    3x + 2 - 4x = 5
    - x = 5 - 2
    - x = 3
    x = - 3

    y = 1 - 2x
    y = 1 + 6
    y = 7

    b.
    2x + y = 8
    3x + y = 12
    ________—
    - x = - 4
    x = 4

    2x + y = 8
    8 + y = 8
    y = 8 - 8
    y = 0

    c.
    x + y = 7
    3x + 2y = 1

    x + y = 7
    x = 7 - y

    3x + 2y = 1
    3(7 - y) + 2y = 1
    21 - 3y + 2y = 1
    - y = 1 - 21
    - y = - 20
    y = 20

    x = 7 - y
    x = 7 - 20
    x = - 13

    d.
    3x + 4y = 10|× 5
    4x - 5y = 34|× 4

    15x + 20y = 50
    16x - 20y = 136
    ____________+
    31x = 186
    x = 6

    3x + 4y = 10
    18 + 4y = 10
    4y = 10 - 18
    4y = - 8
    y = - 2

    Maaf Kalau Salah


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