What is the answer to |3y-14|=17 ?

The answer to |3y-14|=17 is y=-1\lor y= 31/3

Solve for y: |3y-14|=17

The solution is y=-1\lor y= 31/3

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∣ 3 y - 14 ∣ = 17

y = - 1 or y = \frac{31}{3}

Decimal Notation

y = - 1, y = 10.33333 \dots

Solution steps

∣ 3 y - 14 ∣ = 17

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 y - 14 = - 17 or 3 y - 14 = 17

3 y - 14 = - 17 or 3 y - 14 = 17

y = - 1 or y = \frac{31}{3}

19 = ∣ 5 c - 4 ∣

∣ a - 1 ∣ = 12

- ∣ 3 x + 4 ∣ + 6 = - 5

2 - 4 ∣ 7 + 5 x ∣ = - 26

2 - ∣ x + 10 ∣ = 0