What is the answer to | k/7 |-7=-6 ?

The answer to | k/7 |-7=-6 is k=-7\lor k=7

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| k/7 |-7=-6

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

k = - 7 or k = 7

Solution steps

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

Move

7

to the right side

\frac{k}{7} = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{k}{7} = - 1 or \frac{k}{7} = 1

\frac{k}{7} = - 1 or \frac{k}{7} = 1

k = - 7 or k = 7

∣ a - 10 ∣ = 6

∣ 3 x - 5 ∣ = 534

16 = 2 ∣ z ∣ + 1

∣ 7 - 7 x ∣ = 0

∣ x + 4 ∣ = ∣ x - 6 ∣