What is the answer to 1=|-3y+11| ?

The answer to 1=|-3y+11| is y= 10/3 \lor y=4

Solve for y: 1=|-3y+11|

The solution is y= 10/3 \lor y=4

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1 = ∣ - 3 y + 11 ∣

y = \frac{10}{3} or y = 4

Decimal Notation

y = 3.33333 \dots, y = 4

Solution steps

1 = ∣ - 3 y + 11 ∣

Switch sides

∣ - 3 y + 11 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 3 y + 11 = - 1 or - 3 y + 11 = 1

- 3 y + 11 = - 1 or - 3 y + 11 = 1

y = \frac{10}{3} or y = 4

∣ n + 2 ∣ = - 1

2 ∣ x - 3 ∣ - 5 = 7

\frac{∣ 3 a + 12 ∣}{9} = 0

21 = ∣ - 2 x + 5 ∣

\frac{x}{2} = 9