What is the answer to |9x-1|=5 ?

The answer to |9x-1|=5 is x=-4/9 \lor x= 2/3

Solve for x: |9x-1|=5

The solution is x=-4/9 \lor x= 2/3

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∣ 9 x - 1 ∣ = 5

x = - \frac{4}{9} or x = \frac{2}{3}

Decimal Notation

x = - 0.44444 \dots, x = 0.66666 \dots

Solution steps

∣ 9 x - 1 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

9 x - 1 = - 5 or 9 x - 1 = 5

9 x - 1 = - 5 or 9 x - 1 = 5

x = - \frac{4}{9} or x = \frac{2}{3}

12 - 8 ∣ k + 4 ∣ = - 4

∣ 6 x - 2 ∣ + 3 = 15

∣ b + 9 ∣ - 4 = - 12

∣ - 3 n + 22 ∣ = 5

∣ 5 - x ∣ - 10 = 0