What is the answer to 1=-7|s+4|+1 ?

The answer to 1=-7|s+4|+1 is s=-4

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1=-7|s+4|+1

1 = - 7 ∣ s + 4 ∣ + 1

s = - 4

Solution steps

1 = - 7 ∣ s + 4 ∣ + 1

Subtract

1

from both sides

1 - 1 = - 7 ∣ s + 4 ∣ + 1 - 1

Simplify

0 = - 7 ∣ s + 4 ∣

Switch sides

- 7 ∣ s + 4 ∣ = 0

Divide both sides by

- 7

∣ s + 4 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

s + 4 = 0

s + 4 = 0 : s = - 4

s = - 4

∣ x - 1 ∣ + 3 = x^{2}

5 - ∣ 5 x ∣ = 3

∣ y + 4 ∣ - 3 = 4

∣ x + 7 ∣ = 17

∣ x + 7 ∣ = 16