What is the answer to |7b+3|-2=9 ?

The answer to |7b+3|-2=9 is b=-2\lor b= 8/7

Solve for b: |7b+3|-2=9

The solution is b=-2\lor b= 8/7

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∣ 7 b + 3 ∣ - 2 = 9

b = - 2 or b = \frac{8}{7}

Decimal Notation

b = - 2, b = 1.14285 \dots

Solution steps

∣ 7 b + 3 ∣ - 2 = 9

Move

2

to the right side

∣ 7 b + 3 ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 b + 3 = - 11 or 7 b + 3 = 11

7 b + 3 = - 11 or 7 b + 3 = 11

b = - 2 or b = \frac{8}{7}

10 y - 50 = - 20

∣ 6 x - 4 ∣ \geq 14

16 - 9

9 x^{2} = 36 x

\frac{x - 3}{x - 1} \geq 0