What is the answer to 13=|3j-1| ?

The answer to 13=|3j-1| is j=-4\lor j= 14/3

Solve for j: 13=|3j-1|

The solution is j=-4\lor j= 14/3

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13 = ∣ 3 j - 1 ∣

j = - 4 or j = \frac{14}{3}

Decimal Notation

j = - 4, j = 4.66666 \dots

Solution steps

13 = ∣ 3 j - 1 ∣

Switch sides

∣ 3 j - 1 ∣ = 13

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 j - 1 = - 13 or 3 j - 1 = 13

3 j - 1 = - 13 or 3 j - 1 = 13

j = - 4 or j = \frac{14}{3}

- 3 = - 2 ∣ 8 h - 6 ∣

9 ∣ g ∣ = 0

∣ x - 2 ∣ + 29 = 11

∣ x + 6 ∣ - 3 - 3 x = - 2

∣ 4 x + 2 ∣ - 4 = 10