What is the answer to 21=|5-4b| ?

The answer to 21=|5-4b| is b=-4\lor b= 13/2

Solve for b: 21=|5-4b|

The solution is b=-4\lor b= 13/2

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21 = ∣ 5 - 4 b ∣

b = - 4 or b = \frac{13}{2}

Decimal Notation

b = - 4, b = 6.5

Solution steps

21 = ∣ 5 - 4 b ∣

Switch sides

∣ 5 - 4 b ∣ = 21

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 - 4 b = - 21 or 5 - 4 b = 21

5 - 4 b = - 21 or 5 - 4 b = 21

b = - 4 or b = \frac{13}{2}

5 = ∣ 5 y ∣

∣ 2 x - 3 ∣ = x^{2}

∣ 2 x + 3 ∣ - x = 2

∣ x - 4 ∣ + 2 = 2 x

\frac{a}{7} = 3