Matematika

Pertanyaan

Uraikan sistem persamaan berikut dengan substitusi
a. y = 3x
2x+7y=46
b. 4x-5y=7
x+3y+1=0
c. x-4y=11
4x+7y+2=0
d. 19x-y-24=0
9x+4y+11=0

1 Jawaban

  • a) y = 3x
    subtitusi
    2x + 7y = 46
    2x + 7(3x) = 46
    2x + 21x = 46
    23x = 46
    x = 2
    subtitusi
    y = 3x
    y = 3(2)
    y = 6
    hp = ( 2 ,6 )

    b) x + 3y + 1 = 0
    x = - 3y - 1
    subtitusi
    4x - 5y = 7
    4(-3y-1 ) - 5y = 7
    - 12y + 4 - 5y = 7
    - 17y = 7 - 4
    - 17y = 3
    y = - 3/17
    subtitusi
    x = - 3y - 1
    x = - 3(-3/17) - 1
    x = 9/17 - 17/17
    x = - 8/17
    hp = ( - 8/17 , - 3/17 )

    c) x - 4y = 11
    x = 4y + 11
    subtitusi
    4x + 7y + 2 = 0
    4(4y + 11 ) + 7y + 2 = 0
    16y + 44 + 7y + 2 = 0
    23y + 46 = 0
    23y = - 46
    y = - 2
    subtitusi
    x = 4y + 11
    x = 4(-2) + 11
    x = - 8 + 11
    x = 3
    hp = ( 3, - 2)

    d) 19x - y - 24 = 0
    - y = - 19x + 24
    y = 19x - 24
    subtitusi
    9x + 4y + 11 = 0
    9x + 4(19x - 24) + 11 = 0
    9x + 76x - 96 + 11 = 0
    85x - 85 = 0
    85x = 85
    x = 1
    subtitusi
    y = 19x - 24
    y = 19(1) - 24
    y = 19 - 24
    y = - 5
    hp = ( 1 , - 5 )

Pertanyaan Lainnya