What is the answer to |5z-8|=4 ?

The answer to |5z-8|=4 is z= 4/5 \lor z= 12/5

Solve for z: |5z-8|=4

The solution is z= 4/5 \lor z= 12/5

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∣ 5 z - 8 ∣ = 4

z = \frac{4}{5} or z = \frac{12}{5}

Decimal Notation

z = 0.8, z = 2.4

Solution steps

∣ 5 z - 8 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 z - 8 = - 4 or 5 z - 8 = 4

5 z - 8 = - 4 or 5 z - 8 = 4

z = \frac{4}{5} or z = \frac{12}{5}

∣ 5 x - 6 ∣ = 6 x + 3

∣ x - 12 + 15 ∣ = 5

- 5 = 1 - ∣ x + 3 ∣

∣ 10 p ∣ = 50

x ∣ x + 10 ∣ = 4 x - 8