What is the answer to (|5a-8|)/4 =5 ?

The answer to (|5a-8|)/4 =5 is a=-12/5 \lor a= 28/5

Solve for a: (|5a-8|)/4 =5

The solution is a=-12/5 \lor a= 28/5

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\frac{∣ 5 a - 8 ∣}{4} = 5

a = - \frac{12}{5} or a = \frac{28}{5}

Decimal Notation

a = - 2.4, a = 5.6

Solution steps

\frac{∣ 5 a - 8 ∣}{4} = 5

Multiply both sides by

4

∣ 5 a - 8 ∣ = 20

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 a - 8 = - 20 or 5 a - 8 = 20

5 a - 8 = - 20 or 5 a - 8 = 20

a = - \frac{12}{5} or a = \frac{28}{5}

3 ∣ x - 4 ∣ = 10, x

∣ - 5 y - 5 ∣ = 10

∣ 9 - 4 y ∣ = 20

5 ∣ x - 6 ∣ = 12

4 ∣ q ∣ = 0

What is the answer to (|5a-8|)/4 =5 ?
The answer to (|5a-8|)/4 =5 is a=-12/5 \lor a= 28/5
Solve for a: (|5a-8|)/4 =5
The solution is a=-12/5 \lor a= 28/5