What is the answer to 1=|-6+5b| ?

The answer to 1=|-6+5b| is b=1\lor b= 7/5

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1=|-6+5b|

1 = ∣ - 6 + 5 b ∣

b = 1 or b = \frac{7}{5}

Decimal Notation

b = 1, b = 1.4

Solution steps

1 = ∣ - 6 + 5 b ∣

Switch sides

∣ - 6 + 5 b ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 6 + 5 b = - 1 or - 6 + 5 b = 1

- 6 + 5 b = - 1 or - 6 + 5 b = 1

b = 1 or b = \frac{7}{5}

5 ∣ 2 r + 3 ∣ - 5 = 0

∣ 4 t - 8 ∣ = 20

∣ z - 13 ∣ = 21

3 = ∣ 2 k + 7 ∣

∣ - 4 x ∣ = 32