What is the answer to |3k-6|=2 ?

The answer to |3k-6|=2 is k= 4/3 \lor k= 8/3

Solve for k: |3k-6|=2

The solution is k= 4/3 \lor k= 8/3

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∣ 3 k - 6 ∣ = 2

k = \frac{4}{3} or k = \frac{8}{3}

Solution steps

∣ 3 k - 6 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 k - 6 = - 2 or 3 k - 6 = 2

3 k - 6 = - 2 or 3 k - 6 = 2

k = \frac{4}{3} or k = \frac{8}{3}

∣ 8 + a ∣ = 10

∣ 2 x + 5 ∣ = 7 x - 2

∣ x - 4 ∣ = 17

∣ 3 x - 2 ∣ = 1

∣ 6 n - 7 ∣ - 5 = 3 n