What is the answer to 10|-6+9p|+1=31 ?

The answer to 10|-6+9p|+1=31 is p= 1/3 \lor p=1

Solve for p: 10|-6+9p|+1=31

The solution is p= 1/3 \lor p=1

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10 ∣ - 6 + 9 p ∣ + 1 = 31

p = \frac{1}{3} or p = 1

Decimal Notation

p = 0.33333 \dots, p = 1

Solution steps

10 ∣ - 6 + 9 p ∣ + 1 = 31

Move

1

to the right side

10 ∣ - 6 + 9 p ∣ = 30

Divide both sides by

10

∣ - 6 + 9 p ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 6 + 9 p = - 3 or - 6 + 9 p = 3

- 6 + 9 p = - 3 or - 6 + 9 p = 3

p = \frac{1}{3} or p = 1

2 a - 1 + ∣ a + 4 ∣ = a + 7

2 ∣ 2 x - 5 ∣ = x - 3

∣ 2 v + 7 ∣ - 30 = - 15

2 x + 3 = - ∣ x + 1 ∣ - 1

x^{2} - 1 = 2 x

What is the answer to 10|-6+9p|+1=31 ?
The answer to 10|-6+9p|+1=31 is p= 1/3 \lor p=1
Solve for p: 10|-6+9p|+1=31
The solution is p= 1/3 \lor p=1