What is the answer to 10=| x/9 | ?

The answer to 10=| x/9 | is x=-90\lor x=90

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10=| x/9 |

10 = \frac{x}{9}

x = - 90 or x = 90

Solution steps

10 = \frac{x}{9}

Switch sides

\frac{x}{9} = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{x}{9} = - 10 or \frac{x}{9} = 10

\frac{x}{9} = - 10 or \frac{x}{9} = 10

x = - 90 or x = 90

\frac{b}{2} = 1

∣ r - 4 ∣ = 0

∣ x - (- 4) ∣ = 11

∣ x - 7 ∣ = - 19

∣ x - 7 ∣ = - 12