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

The answer to |5x-1|=9 is x=-8/5 \lor x=2

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

The solution is x=-8/5 \lor x=2

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∣ 5 x - 1 ∣ = 9

x = - \frac{8}{5} or x = 2

Decimal Notation

x = - 1.6, x = 2

Solution steps

∣ 5 x - 1 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - \frac{8}{5} or x = 2

∣ 5 x - 1 ∣ = 4

∣ x + 9 ∣ + 1 = 4

9 - 2 ∣ x + 1 ∣ = 4

∣ 2 x - 7 ∣ = 4

3 ∣ 2 z + 5 ∣ = 9 z - 6