What is the answer to | b/3 |+4=5 ?

The answer to | b/3 |+4=5 is b=-3\lor b=3

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| b/3 |+4=5

\frac{b}{3} + 4 = 5

b = - 3 or b = 3

Solution steps

\frac{b}{3} + 4 = 5

Move

4

to the right side

\frac{b}{3} = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{b}{3} = - 1 or \frac{b}{3} = 1

\frac{b}{3} = - 1 or \frac{b}{3} = 1

b = - 3 or b = 3

y, ∣ y ∣ = x + 2

1 + ∣ 3 x + 6 ∣ + 4 = 0

2 ∣ 3 x - 4 ∣ + 5 = 27

2 ∣ - 4 x - 5 ∣ - 4 = 10

∣ x + 5 ∣ = 1 0^{- 2}