Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $s$ . $\newline$ $|s + 6| = 3$ $\newline$ Write your answers as integers or as proper or improper fractions in simplest form. $\newline$ $s =$ _ or $s =$ _

View step-by-step help

View step-by-step help

Solve absolute value equations

Full solution

Q. Solve for

s

.

\newline

|s + 6| = 3

\newline

Write your answers as integers or as proper or improper fractions in simplest form.

\newline

s =

_____ or

s =

_____

Absolute Value Definition: We are given the absolute value equation $|s + 6| = 3$ . The absolute value of a number is the distance of that number from $0$ on the number line, which means it is always non-negative. Therefore, $s + 6$ can either be $3$ or $-3$ .
Case $1$ : $s + 6 = 3$ : First, let's consider the case when $s + 6$ is positive or zero, which gives us the equation $s + 6 = 3$ . $\newline$ Subtract $6$ from both sides to solve for $s$ . $\newline$ $s + 6 - 6 = 3 - 6$ $\newline$ $s = -3$
Case $2$ : $s + 6 = -3$ : Now, let's consider the case when $s + 6$ is negative, which gives us the equation $s + 6 = -3$ . Again, subtract $6$ from both sides to solve for $s$ . $s + 6 - 6 = -3 - 6$ $s = -9$

More problems from Solve absolute value equations

Question

3 n^{2}=27

\newline

What are the solutions to the given equation?

\newline

1

\newline

n=\sqrt{3}

\newline

n=3

\newline

n=-\sqrt{3}

n=\sqrt{3}

\newline

n=-3

n=3

Posted 10 months ago

Question

6=3 x

, what is the value of

x

Posted 2 months ago

Question

9=9 x

, what is the value of

x

Posted 2 months ago

Question

\frac{1}{2} c^{2}+3 c=1

\newline

c=f

c=g

be the solutions to the given equation. If

f>g

, which of the following is the value of

f

\newline

1

\newline

-3+\sqrt{2}

\newline

-3+\sqrt{11}

\newline

3+\sqrt{2}

\newline

3+\sqrt{11}

Posted 8 months ago

Question

Find the value of

x

that solves the equation

\ln (x-3)=1+\ln 2

\newline

Posted 9 months ago

Question

Find the value of

x

that solves the equation

\ln (x-1)+\ln 5=2

\newline

Posted 9 months ago

Question

Find the value of

x

that solves the equation

\ln (x+3)-\ln 2=0

\newline

Posted 9 months ago

Question

Find the value of

x

that solves the equation

\ln (x-3)-3 \ln 4=\ln 10

\newline

x=

Posted 9 months ago

Question

Find the value of `x`

\newline

6x+32=8x-8

Posted 8 months ago

Question

\$200

with which to purchase hats and t-shirts that are to be sold at his class' next fundraiser. Each hat costs the same amount of money, and each t-shirt costs the same amount of money. If Aiden spends all his money entirely on hats, he will get

40

hats. If Aiden purchases only t-shirts, he will get

80

t-shirts. Which of the following best models the relationship between the number of hats,

h

, and the number of t-shirts,

t

, that Aiden could purchase with this money?

\newline

1

\newline

40h+80t=400

\newline

80h+40t=200

\newline

5h+2.5t=200

\newline

2.5h+5t=200

Posted 8 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant