What is the answer to |6z-3|=7 ?

The answer to |6z-3|=7 is z=-2/3 \lor z= 5/3

Solve for z: |6z-3|=7

The solution is z=-2/3 \lor z= 5/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

∣ 6 z - 3 ∣ = 7

z = - \frac{2}{3} or z = \frac{5}{3}

Decimal Notation

z = - 0.66666 \dots, z = 1.66666 \dots

Solution steps

∣ 6 z - 3 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 z - 3 = - 7 or 6 z - 3 = 7

6 z - 3 = - 7 or 6 z - 3 = 7

z = - \frac{2}{3} or z = \frac{5}{3}

\frac{∣ 7 x + 4 ∣}{8} = 3

∣ 2 x - 3 ∣ + 7 = 10

3 ∣ x - 4 ∣ = 6

x + \frac{1}{2} = 2

∣ - 2 x - 1 ∣ = 11