What is the answer to |4+5k|=29 ?

The answer to |4+5k|=29 is k=-33/5 \lor k=5

Solve for k: |4+5k|=29

The solution is k=-33/5 \lor k=5

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∣ 4 + 5 k ∣ = 29

k = - \frac{33}{5} or k = 5

Decimal Notation

k = - 6.6, k = 5

Solution steps

∣ 4 + 5 k ∣ = 29

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 + 5 k = - 29 or 4 + 5 k = 29

4 + 5 k = - 29 or 4 + 5 k = 29

k = - \frac{33}{5} or k = 5

7 = ∣ 3 x + 9 ∣ + 7

\frac{1}{2} ∣ x - 9 ∣ = 16

- 12 ∣ 9 x + 1 ∣ = 144

∣ 7 x + 5 ∣ 6 - 4 x + 2 = 0

∣ 1 - 3 x ∣ + x = 0