Matematika

Pertanyaan

2 ( y -3 ) + 3x = 4 (x -y) + y berapakah gradiennya?

2 Jawaban

  • Bab Persamaan Linear
    Matematika SMP Kelas VIII

    2 (y - 3) + 3x = 4 (x - y) + y
    2y - 6 + 3x = 4x - 4y + y
    2y - 6 + 3x = 4x - 3y
    2y + 3y = x + 6
    5y = x + 6
    y = (1/5) x + (6/5)

    y = mx + c
    m = 1/5 → gradien
  • 2(y - 3) + 3x = 4(x - y) + y
    2y - 6 + 3x = 4x - 4y + y
    2y - 6 + 3x = 4x - 3y
    2y + 3y = 4x - 3x + 6
    5y = x + 6
    [tex]y = \frac{x}{5}+ \frac{6}{5} \\ y= \frac{1}{5}x+1 \frac{1}{5} [/tex]

    Persamaan gradien (m):
    y = mx + c
    m = [tex] \frac{1}{5} [/tex]
    Gradien = 
    [tex] \frac{1}{5} [/tex]

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