What is the answer to 10|5b-4|+6=16 ?

The answer to 10|5b-4|+6=16 is b= 3/5 \lor b=1

Solve for b: 10|5b-4|+6=16

The solution is b= 3/5 \lor b=1

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10 ∣ 5 b - 4 ∣ + 6 = 16

b = \frac{3}{5} or b = 1

Solution steps

10 ∣ 5 b - 4 ∣ + 6 = 16

Move

6

to the right side

10 ∣ 5 b - 4 ∣ = 10

Divide both sides by

10

∣ 5 b - 4 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 b - 4 = - 1 or 5 b - 4 = 1

5 b - 4 = - 1 or 5 b - 4 = 1

b = \frac{3}{5} or b = 1

∣ 3 - 7 x ∣ = 3

∣ 3 y + 6 ∣ - 40 = - 13

∣ 4 x - 12 ∣ = 4

∣ 7 x + 1 ∣ - 8 = - 1

3 = ∣ q - 6 ∣

What is the answer to 10|5b-4|+6=16 ?
The answer to 10|5b-4|+6=16 is b= 3/5 \lor b=1
Solve for b: 10|5b-4|+6=16
The solution is b= 3/5 \lor b=1