What is the answer to 12=7|p|+3 ?

The answer to 12=7|p|+3 is p=-9/7 \lor p= 9/7

Solve for p: 12=7|p|+3

The solution is p=-9/7 \lor p= 9/7

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12 = 7 ∣ p ∣ + 3

p = - \frac{9}{7} or p = \frac{9}{7}

Decimal Notation

p = - 1.28571 \dots, p = 1.28571 \dots

Solution steps

12 = 7 ∣ p ∣ + 3

Switch sides

7 ∣ p ∣ + 3 = 12

Move

3

to the right side

7 ∣ p ∣ = 9

Divide both sides by

7

∣ p ∣ = \frac{9}{7}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

p = - \frac{9}{7} or p = \frac{9}{7}

∣ 12 x ∣ = 60

∣ 2 - 3 y ∣ = 13

∣ 3 x + 5 ∣ = 2 x + 3

∣ 7 x - 49 ∣ = 0

∣ 7 m ∣ = 14