Persamaan nilai mutlak linear satu variabel Tentukan nilai x 1. 5|2x-3| = 2|3-5x| 2. 2x+|8-3x| = |x-4| Dan caranya

Mapel : Matematika
Kelas : X SMA
Bab : Mutlak

Pembahasan :
5|2x - 3| = 2|3 - 5x|
(10x - 6)² = (6 - 10x)²
(10x - 6)² - (6 - 10x)² = 0
20x - 12 = 0
20x = 12
x = 12/20
x = 3/5

Hp : {3/5}

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2x + |8 - 3x| = |x - 4|
|x - 4| - |8 - 3x| = 2x

x - 4 - 8 + 3x = 2x
4x - 12 = 2x
2x = 12
x = 6

x - 4 - 8 + 3x = -2x
4x - 12 = -2x
6x = 12
x = 2

Hp : {2 , 6}