Solve for all values of y in simplest form. 36=|4y| Answer: y=

Given Equation: We are given the equation 36 = |4y|. The absolute value function outputs the distance from zero, so it is always non-negative. This means that 4y can be either 36 or -36.Positive Case: First, let's consider the case when 4y is positive. We set 4y equal to 36 and solve for y. 4y = 36 Now, divide both sides by 4 to isolate y. y = 36 / 4 y = 9Negative Case: Next, let's consider the case when 4y is negative. We set 4y equal to -36 and solve for y. 4y = -36 Again, divide both sides by 4 to isolate y. y = -36 / 4 y = -9Solutions: We have found two solutions for the equation 36 = |4y|, which are y = 9 and y = -9. These are the values of y in simplest form.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for all values of
y in simplest form.

36=|4y|
Answer:
y=

Solve for all values of $y$ in simplest form. $\newline$ $36=|4 y|$ $\newline$ Answer: $y=$

View step-by-step help

Home

Math Problems

Grade 8

Evaluate absolute value expressions

Full solution

Q. Solve for all values of

y

in simplest form.

\newline

36=|4 y|

\newline

Answer:

y=

Given Equation: We are given the equation $36 = |4y|$ . The absolute value function outputs the distance from zero, so it is always non-negative. This means that $4y$ can be either $36$ or $-36$ .
Positive Case: First, let's consider the case when $4y$ is positive. We set $4y$ equal to $36$ and solve for $y$ . $\newline$ $4y = 36$ $\newline$ Now, divide both sides by $4$ to isolate $y$ . $\newline$ $y = \frac{36}{4}$ $\newline$ $y = 9$
Negative Case: Next, let's consider the case when $4y$ is negative. We set $4y$ equal to $-36$ and solve for $y$ . $\newline$ $4y = -36$ $\newline$ Again, divide both sides by $4$ to isolate $y$ . $\newline$ $y = -36 / 4$ $\newline$ $y = -9$
Solutions: We have found two solutions for the equation $36 = |4y|$ , which are $y = 9$ and $y = -9$ . These are the values of $y$ in simplest form.