What is the answer to (|8k-1|)/4 =5 ?

The answer to (|8k-1|)/4 =5 is k=-19/8 \lor k= 21/8

Solve for k: (|8k-1|)/4 =5

The solution is k=-19/8 \lor k= 21/8

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\frac{∣ 8 k - 1 ∣}{4} = 5

k = - \frac{19}{8} or k = \frac{21}{8}

Decimal Notation

k = - 2.375, k = 2.625

Solution steps

\frac{∣ 8 k - 1 ∣}{4} = 5

Multiply both sides by

4

∣ 8 k - 1 ∣ = 20

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 k - 1 = - 20 or 8 k - 1 = 20

8 k - 1 = - 20 or 8 k - 1 = 20

k = - \frac{19}{8} or k = \frac{21}{8}

∣ z ∣ = 32

0 = - 8 ∣ p ∣

∣ z ∣ = 12

∣ x ∣ - 7 = - 10

∣ x - 8 ∣ = - 10

What is the answer to (|8k-1|)/4 =5 ?
The answer to (|8k-1|)/4 =5 is k=-19/8 \lor k= 21/8
Solve for k: (|8k-1|)/4 =5
The solution is k=-19/8 \lor k= 21/8