What is the answer to |9z-8|=3 ?

The answer to |9z-8|=3 is z= 5/9 \lor z= 11/9

Solve for z: |9z-8|=3

The solution is z= 5/9 \lor z= 11/9

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∣ 9 z - 8 ∣ = 3

z = \frac{5}{9} or z = \frac{11}{9}

Decimal Notation

z = 0.55555 \dots, z = 1.22222 \dots

Solution steps

∣ 9 z - 8 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

9 z - 8 = - 3 or 9 z - 8 = 3

9 z - 8 = - 3 or 9 z - 8 = 3

z = \frac{5}{9} or z = \frac{11}{9}

- 9 = \frac{∣ x + 7 ∣}{5}

∣ 7 + 9 x ∣ = 11

∣ 5 x - 28 ∣ + 7 = 20

∣ 3 x + 8 ∣ = 44

4 ∣ 3 x + 4 ∣ - 2 = 14