Penyelesaian dari persamaan |2per3×-5|-6=1

Materi : Nilai Mutlak
Bahasan : Persamaan Nilai Mutlak
Jawaban : x = – 3 atau x = 18

Langkah – langkah :
|f(x)| = a, ⇒ f(x) = a atau f(x) = – a
|(2/3)x – 5| – 6 = 1
|(2/3)x – 5| = 1 + 6
|(2/3)x – 5| = 7

⇒ (2/3)x – 5 = 7
(2/3)x = 7 + 5
(2/3)x = 12
x = 12 ÷ 2/3
x = 12 × 3/2
x = 36/2
x = 18

⇒ (2/3)x – 5 = – 7
(2/3)x = – 7 + 5
(2/3)x = – 2
x = – 2 ÷ 2/3
x = – 2 × 3/2
x = – 6/2
x = – 3