What is the answer to |6n+1|=5 ?

The answer to |6n+1|=5 is n=-1\lor n= 2/3

Solve for n: |6n+1|=5

The solution is n=-1\lor n= 2/3

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∣ 6 n + 1 ∣ = 5

n = - 1 or n = \frac{2}{3}

Decimal Notation

n = - 1, n = 0.66666 \dots

Solution steps

∣ 6 n + 1 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 n + 1 = - 5 or 6 n + 1 = 5

6 n + 1 = - 5 or 6 n + 1 = 5

n = - 1 or n = \frac{2}{3}

- 1 = ∣ d + 1 ∣ - 8

10 = ∣ z ∣ + 4

9 - 4 ∣ 2 x - 3 ∣ = 9

x, ∣ x + 7 ∣ = 1 o

- 15 = - 3 ∣ 8 n ∣