What is the answer to (|-4k+9|)/8 =5 ?

The answer to (|-4k+9|)/8 =5 is k=-31/4 \lor k= 49/4

Solve for k: (|-4k+9|)/8 =5

The solution is k=-31/4 \lor k= 49/4

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\frac{∣ - 4 k + 9 ∣}{8} = 5

k = - \frac{31}{4} or k = \frac{49}{4}

Decimal Notation

k = - 7.75, k = 12.25

Solution steps

\frac{∣ - 4 k + 9 ∣}{8} = 5

Multiply both sides by

8

∣ - 4 k + 9 ∣ = 40

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 4 k + 9 = - 40 or - 4 k + 9 = 40

- 4 k + 9 = - 40 or - 4 k + 9 = 40

k = - \frac{31}{4} or k = \frac{49}{4}

∣ y + 4 ∣ = 1

∣ 2 x - 8 ∣ = 16

∣ 3 x - 6 ∣ = x + 2

∣ 2 x - 8 ∣ = 12

∣ 4 u - 12 ∣ = 4

What is the answer to (|-4k+9|)/8 =5 ?
The answer to (|-4k+9|)/8 =5 is k=-31/4 \lor k= 49/4
Solve for k: (|-4k+9|)/8 =5
The solution is k=-31/4 \lor k= 49/4