What is the answer to |9-10n|=61 ?

The answer to |9-10n|=61 is n=-26/5 \lor n=7

Solve for n: |9-10n|=61

The solution is n=-26/5 \lor n=7

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∣ 9 - 10 n ∣ = 61

n = - \frac{26}{5} or n = 7

Decimal Notation

n = - 5.2, n = 7

Solution steps

∣ 9 - 10 n ∣ = 61

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

9 - 10 n = - 61 or 9 - 10 n = 61

9 - 10 n = - 61 or 9 - 10 n = 61

n = - \frac{26}{5} or n = 7

3 ∣ x + 6 ∣ = 36

\frac{∣ k + 7 ∣}{6} = 2

∣ x + 5 ∣ = - 2

∣ x + 5 ∣ = - 8

5 - ∣ 7 x ∣ = 4