Tolong dong persamaan nilai mutlak linear satu variabel? Contoh soal: A. |2y+5|=|7-2y| B. |x-1|+|2x|+|3x+1|=6 C.|4x-3|= –|2x – 1| Tolong dong,pliss yaa……

Mapel : Matematika
Kelas : X SMA
Materi : Persamaan Mutlak

Pembahasan :
|2y + 5| = |7 - 2y|
(2y + 5)² = (7 - 2y)²
(2y + 5)² - (7 - 2y)² = 0
12(4y - 2) = 0
48y - 24 = 0
48y = 24
y = 24/48
y = 1/2

Hp : {1/2}

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|x - 1| + |2x| + |3x + 1| = 6

x - 1 + 2x + 3x + 1 = 6
6x = 6
x = 1

x - 1 + 2x + 3x + 1 = -6
6x = -6
x = -1

Hp : {-1 , 1}

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|4x - 3| = -|2x - 1|
|4x - 3| + |2x - 1| = 0
4x - 3 + 2x - 1 = 0
6x - 4 = 0
6x = 4
x = 2/3

Hp : {2/3}