What is the answer to 4|8-5n|=13 ?

The answer to 4|8-5n|=13 is n= 19/20 \lor n= 9/4

Solve for n: 4|8-5n|=13

The solution is n= 19/20 \lor n= 9/4

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4 ∣ 8 - 5 n ∣ = 13

n = \frac{19}{20} or n = \frac{9}{4}

Solution steps

4 ∣ 8 - 5 n ∣ = 13

Divide both sides by

4

∣ 8 - 5 n ∣ = \frac{13}{4}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 - 5 n = - \frac{13}{4} or 8 - 5 n = \frac{13}{4}

8 - 5 n = - \frac{13}{4} or 8 - 5 n = \frac{13}{4}

n = \frac{19}{20} or n = \frac{9}{4}

∣ 5 + b ∣ = 1

∣ 2 x - 7 ∣ = 5

\frac{x}{7} = 3

∣ x - 2 ∣ = 3 x + 6

6 ∣ x - 3 ∣ = 48

What is the answer to 4|8-5n|=13 ?
The answer to 4|8-5n|=13 is n= 19/20 \lor n= 9/4
Solve for n: 4|8-5n|=13
The solution is n= 19/20 \lor n= 9/4