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Solve for all values of y in simplest form. 12=|(y)/(9)| Answer: y=

Solve for all values of y y in simplest form.\newline12=∣y9∣ 12=\left|\frac{y}{9}\right| \newlineAnswer: y= y=

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Evaluate absolute value expressionsright chevron icon

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Q. Solve for all values of y y in simplest form.\newline12=∣y9∣ 12=\left|\frac{y}{9}\right| \newlineAnswer: y= y=
  1. Understand absolute value equation: Understand the absolute value equation.\newlineThe absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, the equation ∣y9∣=12\lvert \frac{y}{9} \rvert = 12 can have two possible solutions: one where y9\frac{y}{9} is positive and equals 1212, and one where y9\frac{y}{9} is negative and equals −12-12.
  2. Solve for y when positive: Solve for y when y9\frac{y}{9} is positive.\newlineIf y9=12\frac{y}{9} = 12, then multiplying both sides by 99 gives us y=12×9y = 12 \times 9.
  3. Calculate positive value of y: Calculate the positive value of yy.y=12×9y = 12 \times 9y=108y = 108
  4. Solve for y when negative: Solve for y when y/9y/9 is negative.\newlineIf y/9=−12y/9 = -12, then multiplying both sides by 99 gives us y=−12×9y = -12 \times 9.
  5. Calculate negative value of y: Calculate the negative value of y.\newliney=−12×9y = -12 \times 9\newliney=−108y = -108

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