What is the answer to |4+7k|=10 ?

The answer to |4+7k|=10 is k=-2\lor k= 6/7

Solve for k: |4+7k|=10

The solution is k=-2\lor k= 6/7

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∣ 4 + 7 k ∣ = 10

k = - 2 or k = \frac{6}{7}

Decimal Notation

k = - 2, k = 0.85714 \dots

Solution steps

∣ 4 + 7 k ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 + 7 k = - 10 or 4 + 7 k = 10

4 + 7 k = - 10 or 4 + 7 k = 10

k = - 2 or k = \frac{6}{7}

∣ m - 8 ∣ + 3 = 12

∣ 2 - 3 t ∣ + 6 = 20

∣ v - 95 ∣ + 7 = 12

∣ q - 3 ∣ = 3

∣ x + 7 ∣ + 13 = 4