What is the answer to |5k+6|=39 ?

The answer to |5k+6|=39 is k=-9\lor k= 33/5

Solve for k: |5k+6|=39

The solution is k=-9\lor k= 33/5

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∣ 5 k + 6 ∣ = 39

k = - 9 or k = \frac{33}{5}

Decimal Notation

k = - 9, k = 6.6

Solution steps

∣ 5 k + 6 ∣ = 39

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 k + 6 = - 39 or 5 k + 6 = 39

5 k + 6 = - 39 or 5 k + 6 = 39

k = - 9 or k = \frac{33}{5}

∣ x ∣ = - 10

∣ 5 - 7 x ∣ + 2 = 21

∣ 2 - 4 x ∣ = 7

8 = 3 ∣ x - 7 ∣ + 4

∣ x + 8 ∣ = 16