What is the answer to |5z-1|=24 ?

The answer to |5z-1|=24 is z=-23/5 \lor z=5

Solve for z: |5z-1|=24

The solution is z=-23/5 \lor z=5

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∣ 5 z - 1 ∣ = 24

z = - \frac{23}{5} or z = 5

Decimal Notation

z = - 4.6, z = 5

Solution steps

∣ 5 z - 1 ∣ = 24

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 z - 1 = - 24 or 5 z - 1 = 24

5 z - 1 = - 24 or 5 z - 1 = 24

z = - \frac{23}{5} or z = 5

5 ∣ x + 1 ∣ + 6 = 21

∣ 2 - 3 x ∣ = 9

∣ 10 - 3 t ∣ = t + 3

∣ x - 4 ∣ = 19

∣ x - 4 ∣ = 14