What is the answer to |2+10k|-5=77 ?

The answer to |2+10k|-5=77 is k=-42/5 \lor k=8

Solve for k: |2+10k|-5=77

The solution is k=-42/5 \lor k=8

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∣ 2 + 10 k ∣ - 5 = 77

k = - \frac{42}{5} or k = 8

Solution steps

∣ 2 + 10 k ∣ - 5 = 77

Move

5

to the right side

∣ 2 + 10 k ∣ = 82

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 + 10 k = - 82 or 2 + 10 k = 82

2 + 10 k = - 82 or 2 + 10 k = 82

k = - \frac{42}{5} or k = 8

- 3 ∣ x - 9 ∣ - 10 = 2

2 ∣ h ∣ - 3 = 8

∣ 4 x + 2 ∣ + 2 = 5 x

∣ 2 x + 5 ∣ = 4

- 5 ∣ 6 - 3 n ∣ = - 30

What is the answer to |2+10k|-5=77 ?
The answer to |2+10k|-5=77 is k=-42/5 \lor k=8
Solve for k: |2+10k|-5=77
The solution is k=-42/5 \lor k=8