What is the answer to 15=|b-11| ?

The answer to 15=|b-11| is b=-4\lor b=26

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15=|b-11|

15 = ∣ b - 11 ∣

b = - 4 or b = 26

Solution steps

15 = ∣ b - 11 ∣

Switch sides

∣ b - 11 ∣ = 15

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

b - 11 = - 15 or b - 11 = 15

b - 11 = - 15 or b - 11 = 15

b = - 4 or b = 26

- ∣ 3 x - 7 ∣ + 7 = 4

\frac{b}{12} = 10

10 = \frac{y}{5}

∣ 9 + 3 c ∣ = 15

\frac{c}{6} = 10