What is the answer to 17=|2-5a| ?

The answer to 17=|2-5a| is a=-3\lor a= 19/5

Solve for a: 17=|2-5a|

The solution is a=-3\lor a= 19/5

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17 = ∣ 2 - 5 a ∣

a = - 3 or a = \frac{19}{5}

Decimal Notation

a = - 3, a = 3.8

Solution steps

17 = ∣ 2 - 5 a ∣

Switch sides

∣ 2 - 5 a ∣ = 17

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 - 5 a = - 17 or 2 - 5 a = 17

2 - 5 a = - 17 or 2 - 5 a = 17

a = - 3 or a = \frac{19}{5}

∣ 4 - 5 x ∣ + 3 = 4

∣ b - 24 ∣ = 40

∣ 2 x - 8 ∣ + 10 = 4 x

21 = ∣ a + 28 ∣

35 = ∣ y - 18 ∣