What is the answer to 10=| y/3 | ?

The answer to 10=| y/3 | is y=-30\lor y=30

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10=| y/3 |

10 = \frac{y}{3}

y = - 30 or y = 30

Solution steps

10 = \frac{y}{3}

Switch sides

\frac{y}{3} = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{y}{3} = - 10 or \frac{y}{3} = 10

\frac{y}{3} = - 10 or \frac{y}{3} = 10

y = - 30 or y = 30

6 ∣ 2 x + 5 ∣ - 7 = 23

4 = ∣ v ∣ - 4

∣ x ∣ + 1 = 9

x^{2} - x + 1 = 7

∣ 5 x + 1 ∣ = 2 x