Matematika kak tolong, terimakasih1. |4 - 3x| = 42. |3x - 8| = 103. |x - 1| + |3x - 6| = 9​

carlottahudsonulv – March 13, 2023

kak tolong, terimakasih
1. |4 - 3x| = 4
2. |3x - 8| = 10
3. |x - 1| + |3x - 6| = 9​

Jawab:

1. x = 0 atau x = 8/3

2. x = 6 atau x = -2/3

3. x = 4 atau x = 3.5 atau x = -7 atau x = -0.5

Penjelasan dengan langkah-langkah:

1. 4-3x = 4 (i) atau 4-3x = -4 (ii)
  (i) 3x=0 -> x = 0
  (ii) 3x = 8 -> x = 8/3

2. 3x - 8 = 10 (i) atau 3x-8 = -10 (ii)
  (i) 3x = 18 -> x = 6
  (iii) 3x = -2 -> x = -2/3

3. x -1 + 3x - 6 = 9 (i)
  x-1 - 3x +6 = 9 (ii)

  -x + 1 + 3x -6 = 9 (iii)

  -x + 1 - 3x + 6 = 9 (iv)

  (i) 4x - 7 = 9 -> x = 16/4 = 4
  (ii) 4x - 5 = 9 -> x = 14/4 = 3.5
  (iii)  -2x = 14 -> x = -7
  (iv) -4x = 2 -> x = -1/2 = -0.5

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