Solve for all values of x in simplest form. 8=|(x)/(8)| Answer: x=

Understand absolute value equation: Understand the absolute value equation. The equation 8 = |x/8| means that the absolute value of x divided by 8 is equal to 8. The absolute value of a number is its distance from zero on the number line, which means it is always non-negative.Set up two equations: Set up two separate equations to solve for x. Since the absolute value of a number can be either positive or negative, we have two cases to consider: Case 1: x/8 = 8 Case 2: x/8 = -8Solve for x in Case 1: Solve for x in Case 1. Starting with x/8 = 8, we multiply both sides by 8 to isolate x. x = 8 * 8 x = 64Solve for x in Case 2: Solve for x in Case 2. Starting with x/8 = -8, we multiply both sides by 8 to isolate x. x = -8 * 8 x = -64

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for all values of
x in simplest form.

8=|(x)/(8)|
Answer:
x=

Solve for all values of $x$ in simplest form. $\newline$ $8=\left|\frac{x}{8}\right|$ $\newline$ Answer: $x=$

View step-by-step help

Home

Math Problems

Grade 8

Evaluate absolute value expressions

Full solution

Q. Solve for all values of

x

in simplest form.

\newline

8=\left|\frac{x}{8}\right|

\newline

Answer:

x=

Understand absolute value equation: Understand the absolute value equation. $\newline$ The equation $8 = |\frac{x}{8}|$ means that the absolute value of $x$ divided by $8$ is equal to $8$ . The absolute value of a number is its distance from zero on the number line, which means it is always non-negative.
Set up two equations: Set up two separate equations to solve for $x$ . Since the absolute value of a number can be either positive or negative, we have two cases to consider: Case $1$ : $\frac{x}{8} = 8$ Case $2$ : $\frac{x}{8} = -8$
Solve for x in Case $1$ : Solve for x in Case $1$ . $\newline$ Starting with $\frac{x}{8} = 8$ , we multiply both sides by $8$ to isolate $x$ . $\newline$ $x = 8 \times 8$ $\newline$ $x = 64$
Solve for x in Case $2$ : Solve for x in Case $2$ . $\newline$ Starting with $\frac{x}{8} = -8$ , we multiply both sides by $8$ to isolate $x$ . $\newline$ $x = -8 \times 8$ $\newline$ $x = -64$