What is the answer to |3+7k|-4=28 ?

The answer to |3+7k|-4=28 is k=-5\lor k= 29/7

Solve for k: |3+7k|-4=28

The solution is k=-5\lor k= 29/7

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∣ 3 + 7 k ∣ - 4 = 28

k = - 5 or k = \frac{29}{7}

Decimal Notation

k = - 5, k = 4.14285 \dots

Solution steps

∣ 3 + 7 k ∣ - 4 = 28

Move

4

to the right side

∣ 3 + 7 k ∣ = 32

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 + 7 k = - 32 or 3 + 7 k = 32

3 + 7 k = - 32 or 3 + 7 k = 32

k = - 5 or k = \frac{29}{7}

2 x + ∣ x - 6 ∣ = 30

- 10 ∣ - 6 + b ∣ = - 90

∣ 4 y + 9 ∣ - 2 = 0

∣ r - 5 ∣ = 2

8 = ∣ 5 - x ∣

What is the answer to |3+7k|-4=28 ?
The answer to |3+7k|-4=28 is k=-5\lor k= 29/7
Solve for k: |3+7k|-4=28
The solution is k=-5\lor k= 29/7