Solved on Dec 12, 2023

Solve for the absolute value of $k$ equals 72 minus 9.

STEP 1

Assumptions
1. We are given the equation $|k| + 9 = 72$ .
2. We need to solve for the variable $k$ .
3. The absolute value function $|x|$ outputs the non-negative value of $x$ .

STEP 2

To solve for $k$ , we first need to isolate the absolute value expression on one side of the equation. We can do this by subtracting 9 from both sides of the equation.
$|k| + 9 - 9 = 72 - 9$

STEP 3

Simplify both sides of the equation.
$|k| = 63$

STEP 4

The equation $|k| = 63$ means that $k$ can be either positive 63 or negative 63, since the absolute value of both $63$ and $-63$ is $63$ .

STEP 5

We set up two separate equations to solve for $k$ :
1. $k = 63$
2. $k = -63$

STEP 6

We have found the two possible solutions for $k$ .
The solutions are $k = 63$ and $k = -63$ .

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Solve for the absolute value of $k$ equals 72 minus 9.

STEP 1

Assumptions
1. We are given the equation $|k| + 9 = 72$ .
2. We need to solve for the variable $k$ .
3. The absolute value function $|x|$ outputs the non-negative value of $x$ .

STEP 2

To solve for $k$ , we first need to isolate the absolute value expression on one side of the equation. We can do this by subtracting 9 from both sides of the equation.
$|k| + 9 - 9 = 72 - 9$

STEP 3

Simplify both sides of the equation.
$|k| = 63$

STEP 4

The equation $|k| = 63$ means that $k$ can be either positive 63 or negative 63, since the absolute value of both $63$ and $-63$ is $63$ .

STEP 5

We set up two separate equations to solve for $k$ :
1. $k = 63$
2. $k = -63$

STEP 6

We have found the two possible solutions for $k$ .
The solutions are $k = 63$ and $k = -63$ .

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Solve for the absolute value of kkk equals 72 minus 9.

STEP 1

Assumptions1. We are given the equation ∣k∣+9=72 |k| + 9 = 72 ∣k∣+9=72.2. We need to solve for the variable k k k.3. The absolute value function ∣x∣ |x| ∣x∣ outputs the non-negative value of x x x.

STEP 2

To solve for k k k, we first need to isolate the absolute value expression on one side of the equation. We can do this by subtracting 9 from both sides of the equation.∣k∣+9−9=72−9 |k| + 9 - 9 = 72 - 9 ∣k∣+9−9=72−9

STEP 3

Simplify both sides of the equation.∣k∣=63 |k| = 63 ∣k∣=63

STEP 4

The equation ∣k∣=63 |k| = 63 ∣k∣=63 means that k k k can be either positive 63 or negative 63, since the absolute value of both 63 63 63 and −63 -63 −63 is 63 63 63.

STEP 5

We set up two separate equations to solve for k k k:1. k=63 k = 63 k=632. k=−63 k = -63 k=−63

STEP 6

We have found the two possible solutions for k k k.The solutions are k=63 k = 63 k=63 and k=−63 k = -63 k=−63.

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Solve for the absolute value of $k$ equals 72 minus 9.

Assumptions
1. We are given the equation $|k| + 9 = 72$ .
2. We need to solve for the variable $k$ .
3. The absolute value function $|x|$ outputs the non-negative value of $x$ .

To solve for $k$ , we first need to isolate the absolute value expression on one side of the equation. We can do this by subtracting 9 from both sides of the equation.
$|k| + 9 - 9 = 72 - 9$

Simplify both sides of the equation.
$|k| = 63$

The equation $|k| = 63$ means that $k$ can be either positive 63 or negative 63, since the absolute value of both $63$ and $-63$ is $63$ .

We set up two separate equations to solve for $k$ :
1. $k = 63$
2. $k = -63$

We have found the two possible solutions for $k$ .
The solutions are $k = 63$ and $k = -63$ .