What is the answer to 2=| y/3 | ?

The answer to 2=| y/3 | is y=-6\lor y=6

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2=| y/3 |

2 = \frac{y}{3}

y = - 6 or y = 6

Solution steps

2 = \frac{y}{3}

Switch sides

\frac{y}{3} = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{y}{3} = - 2 or \frac{y}{3} = 2

\frac{y}{3} = - 2 or \frac{y}{3} = 2

y = - 6 or y = 6

∣ 5 x - 4 ∣ = 6

4 - 3 ∣ 2 x + 1 ∣ = - 32

∣ x ∣ + 2 x = 3

∣ x ∣ + 4 = - 9

∣ 3 x + 4 ∣ = 16