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

Understand absolute value equation: Understand the absolute value equation. The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, the equation |y/9| = 12 can have two possible solutions: one where y/9 is positive and equals 12, and one where y/9 is negative and equals -12.Solve for y when positive: Solve for y when y/9 is positive. If y/9 = 12, then multiplying both sides by 9 gives us y = 12 * 9.Calculate positive value of y: Calculate the positive value of y. y = 12 * 9 y = 108Solve for y when negative: Solve for y when y/9 is negative. If y/9 = -12, then multiplying both sides by 9 gives us y = -12 * 9.Calculate negative value of y: Calculate the negative value of y. y = -12 * 9 y = -108

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Solve for all values of
y in simplest form.

12=|(y)/(9)|
Answer:
y=

Solve for all values of $y$ in simplest form. $\newline$ $12=\left|\frac{y}{9}\right|$ $\newline$ Answer: $y=$

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Math Problems

Grade 7

Evaluate absolute value expressions

Full solution

Q. Solve for all values of

y

in simplest form.

\newline

12=\left|\frac{y}{9}\right|

\newline

Answer:

y=

Understand absolute value equation: Understand the absolute value equation. $\newline$ The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, the equation $\lvert \frac{y}{9} \rvert = 12$ can have two possible solutions: one where $\frac{y}{9}$ is positive and equals $12$ , and one where $\frac{y}{9}$ is negative and equals $-12$ .
Solve for y when positive: Solve for y when $\frac{y}{9}$ is positive. $\newline$ If $\frac{y}{9} = 12$ , then multiplying both sides by $9$ gives us $y = 12 \times 9$ .
Calculate positive value of y: Calculate the positive value of $y$ . $y = 12 \times 9$ $y = 108$
Solve for y when negative: Solve for y when $y/9$ is negative. $\newline$ If $y/9 = -12$ , then multiplying both sides by $9$ gives us $y = -12 \times 9$ .
Calculate negative value of y: Calculate the negative value of y. $\newline$ $y = -12 \times 9$ $\newline$ $y = -108$