What is the answer to |9-7b|-6=5 ?

The answer to |9-7b|-6=5 is b=-2/7 \lor b= 20/7

Solve for b: |9-7b|-6=5

The solution is b=-2/7 \lor b= 20/7

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∣ 9 - 7 b ∣ - 6 = 5

b = - \frac{2}{7} or b = \frac{20}{7}

Decimal

b = - 0.28571 \dots, b = 2.85714 \dots

Solution steps

∣ 9 - 7 b ∣ - 6 = 5

Move

6

to the right side

∣ 9 - 7 b ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

9 - 7 b = - 11 or 9 - 7 b = 11

9 - 7 b = - 11 or 9 - 7 b = 11

b = - \frac{2}{7} or b = \frac{20}{7}

x^{2} + 5 x = 5 ∣ x + 5 ∣

9 - ∣ 2 x + 1 ∣ = 3

∣ 5 x - 7 ∣ = ∣ x - 4 ∣

\frac{2}{5} ∣ 3 x - 4 ∣ = 2 x + 4

∣ x + 1 ∣ + 2 = - x - 4

What is the answer to |9-7b|-6=5 ?
The answer to |9-7b|-6=5 is b=-2/7 \lor b= 20/7
Solve for b: |9-7b|-6=5
The solution is b=-2/7 \lor b= 20/7