What is the answer to |3+4k|=23 ?

The answer to |3+4k|=23 is k=-13/2 \lor k=5

Solve for k: |3+4k|=23

The solution is k=-13/2 \lor k=5

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∣ 3 + 4 k ∣ = 23

k = - \frac{13}{2} or k = 5

Decimal Notation

k = - 6.5, k = 5

Solution steps

∣ 3 + 4 k ∣ = 23

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 + 4 k = - 23 or 3 + 4 k = 23

3 + 4 k = - 23 or 3 + 4 k = 23

k = - \frac{13}{2} or k = 5

∣ 3 x + 8 ∣ = 2

5 = ∣ x ∣ + 3

4 ∣ x + 5 ∣ + 2 = 0

∣ 3 x - 2 ∣ = - 2

\frac{1}{4} x + 5 = 3