What is the answer to 20=|3y-11| ?

The answer to 20=|3y-11| is y=-3\lor y= 31/3

Solve for y: 20=|3y-11|

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

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20 = ∣ 3 y - 11 ∣

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

Decimal Notation

y = - 3, y = 10.33333 \dots

Solution steps

20 = ∣ 3 y - 11 ∣

Switch sides

∣ 3 y - 11 ∣ = 20

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 y - 11 = - 20 or 3 y - 11 = 20

3 y - 11 = - 20 or 3 y - 11 = 20

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

5 ∣ 3 x - 9 ∣ + 11 = 24

∣ 4 x + 1 ∣ + 9 = 17

10 - 2 ∣ x - 2 ∣ = 3

11 - 3 ∣ x - 1 ∣ = 1

∣ 3 x - 19 ∣ = - 25