What is the answer to -5=1-9|u| ?

The answer to -5=1-9|u| is u=-2/3 \lor u= 2/3

Solve for u: -5=1-9|u|

The solution is u=-2/3 \lor u= 2/3

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- 5 = 1 - 9 ∣ u ∣

u = - \frac{2}{3} or u = \frac{2}{3}

Solution steps

- 5 = 1 - 9 ∣ u ∣

Switch sides

1 - 9 ∣ u ∣ = - 5

Move

1

to the right side

- 9 ∣ u ∣ = - 6

Divide both sides by

- 9

∣ u ∣ = \frac{2}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

u = - \frac{2}{3} or u = \frac{2}{3}

\frac{2}{3} x = 8

∣ 5 g ∣ = 0

5 ∣ x ∣ = - 6

∣ 8 - p ∣ = 6

∣ 2 k ∣ = 8