What is the answer to 3=|3r-1| ?

The answer to 3=|3r-1| is r=-2/3 \lor r= 4/3

Solve for r: 3=|3r-1|

The solution is r=-2/3 \lor r= 4/3

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3 = ∣ 3 r - 1 ∣

r = - \frac{2}{3} or r = \frac{4}{3}

Decimal Notation

r = - 0.66666 \dots, r = 1.33333 \dots

Solution steps

3 = ∣ 3 r - 1 ∣

Switch sides

∣ 3 r - 1 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 r - 1 = - 3 or 3 r - 1 = 3

3 r - 1 = - 3 or 3 r - 1 = 3

r = - \frac{2}{3} or r = \frac{4}{3}

∣ y ∣ + 5 = 0

∣ x ∣ = - 25.1

2 ∣ 8 w + 6 ∣ = 76

77 = ∣ p ∣ - 4

x^{2} - 8 x + 15 = 0