What is the answer to |7-4b|=47 ?

The answer to |7-4b|=47 is b=-10\lor b= 27/2

Solve for b: |7-4b|=47

The solution is b=-10\lor b= 27/2

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∣ 7 - 4 b ∣ = 47

b = - 10 or b = \frac{27}{2}

Decimal Notation

b = - 10, b = 13.5

Solution steps

∣ 7 - 4 b ∣ = 47

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 - 4 b = - 47 or 7 - 4 b = 47

7 - 4 b = - 47 or 7 - 4 b = 47

b = - 10 or b = \frac{27}{2}

\frac{3}{4} a - 3 = 9

∣ 2 x + 5 ∣ = 13

- 5 ∣ 6 a + 21 ∣ = - 15

∣ 7 y - 3 ∣ + 1 = 0

∣ 3 x - 8 ∣ = x