What is the answer to 2-10|k-1|=-78 ?

The answer to 2-10|k-1|=-78 is k=-7\lor k=9

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2-10|k-1|=-78

2 - 10 ∣ k - 1 ∣ = - 78

k = - 7 or k = 9

Solution steps

2 - 10 ∣ k - 1 ∣ = - 78

Move

2

to the right side

- 10 ∣ k - 1 ∣ = - 80

Divide both sides by

- 10

∣ k - 1 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

k - 1 = - 8 or k - 1 = 8

k - 1 = - 8 or k - 1 = 8

k = - 7 or k = 9

∣ 7 - x ∣ = 1

9 ∣ 9 m - 5 ∣ + 6 = 42

∣ 2 x - 1 ∣ + 3 = 0

∣ 2 x - 1 ∣ + 3 = 6

∣ 9 y + 9 ∣ - 7 = 0

What is the answer to 2-10|k-1|=-78 ?
The answer to 2-10|k-1|=-78 is k=-7\lor k=9
Solve for k: 2-10|k-1|=-78
The solution is k=-7\lor k=9