What is the answer to 10=| b/5 | ?

The answer to 10=| b/5 | is b=-50\lor b=50

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10=| b/5 |

10 = \frac{b}{5}

b = - 50 or b = 50

Solution steps

10 = \frac{b}{5}

Switch sides

\frac{b}{5} = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{b}{5} = - 10 or \frac{b}{5} = 10

\frac{b}{5} = - 10 or \frac{b}{5} = 10

b = - 50 or b = 50

∣ 2 x + 12 ∣ = 4 x

∣ 3 x + 8 ∣ = x

- 4 ∣ 4 x + 1 ∣ + 8 = - 12

4 = ∣ - b + 10 ∣

3 ∣ x - 4 ∣ = 8