What is the answer to 17=9|n|+9 ?

The answer to 17=9|n|+9 is n=-8/9 \lor n= 8/9

Solve for n: 17=9|n|+9

The solution is n=-8/9 \lor n= 8/9

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17 = 9 ∣ n ∣ + 9

n = - \frac{8}{9} or n = \frac{8}{9}

Decimal

n = - 0.88888 \dots, n = 0.88888 \dots

Solution steps

17 = 9 ∣ n ∣ + 9

Switch sides

9 ∣ n ∣ + 9 = 17

Move

9

to the right side

9 ∣ n ∣ = 8

Divide both sides by

9

∣ n ∣ = \frac{8}{9}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

n = - \frac{8}{9} or n = \frac{8}{9}

\frac{∣ x + 6 ∣}{7} = 2

- 5 ∣ 2 x - 1 ∣ = 0

∣ 3 x - 2 ∣ = ∣ 6 x + 7 ∣

∣ 10 - x ∣ = 3 x - 2

∣ 8 c - 4 ∣ = 20