What is the answer to 3|k-3|+1=9 ?

The answer to 3|k-3|+1=9 is k= 1/3 \lor k= 17/3

Solve for k: 3|k-3|+1=9

The solution is k= 1/3 \lor k= 17/3

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3 ∣ k - 3 ∣ + 1 = 9

k = \frac{1}{3} or k = \frac{17}{3}

Decimal Notation

k = 0.33333 \dots, k = 5.66666 \dots

Solution steps

3 ∣ k - 3 ∣ + 1 = 9

Move

1

to the right side

3 ∣ k - 3 ∣ = 8

Divide both sides by

3

∣ k - 3 ∣ = \frac{8}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

k = \frac{1}{3} or k = \frac{17}{3}

3 - ∣ 2 m + 7 ∣ = 2

\frac{x}{3} - 5 = 1

∣ 30 - 4 x ∣ = 6 x

∣ y - 8 ∣ + 15 = 6

- 6 = ∣ f ∣ - 7

What is the answer to 3|k-3|+1=9 ?
The answer to 3|k-3|+1=9 is k= 1/3 \lor k= 17/3
Solve for k: 3|k-3|+1=9
The solution is k= 1/3 \lor k= 17/3