What is the answer to 4=7|u|-8 ?

The answer to 4=7|u|-8 is u=-12/7 \lor u= 12/7

Solve for u: 4=7|u|-8

The solution is u=-12/7 \lor u= 12/7

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4 = 7 ∣ u ∣ - 8

u = - \frac{12}{7} or u = \frac{12}{7}

Decimal Notation

u = - 1.71428 \dots, u = 1.71428 \dots

Solution steps

4 = 7 ∣ u ∣ - 8

Switch sides

7 ∣ u ∣ - 8 = 4

Move

8

to the right side

7 ∣ u ∣ = 12

Divide both sides by

7

∣ u ∣ = \frac{12}{7}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

u = - \frac{12}{7} or u = \frac{12}{7}

∣ 5 x + 10 ∣ = 35

∣ 2 y + 7 ∣ + 3 = 2

- 2 ∣ 2 x - 6 ∣ = - 8

∣ 8 x - 4 ∣ - 2 = 50

- 4 = - 4 ∣ h ∣