Question Convert $6b + (-3b) = 41$ to find $b$ . Solve for $b = 8$ .

Studdy Solution

STEP 1

Assumptions1. The sentence "The sum of $6b$ and $-3b$ is41" can be converted into an equation. . The variable to solve for is $b$ .

STEP 2

Let's convert the sentence into an equation. The word "sum" in mathematics implies addition, and "is" implies equality. So, the sentence "The sum of $6b$ and $-b$ is41" can be written as $6b + (-b) =41$

STEP 3

We can simplify the left side of the equation by adding $6b$ and $-3b$ together.
$3b =41$

STEP 4

To solve for $b$ , we need to isolate $b$ on one side of the equation. We can do this by dividing both sides of the equation by3.
$b = \frac{41}{3}$

STEP 5

Now, we can calculate the value of $b$ .
$b = \frac{41}{3} \approx13.7$ So, $b \approx13.7$ when rounded to the nearest tenth.

Was this helpful?

Question Convert $6b + (-3b) = 41$ to find $b$ . Solve for $b = 8$ .

Studdy Solution

STEP 1

Assumptions1. The sentence "The sum of $6b$ and $-3b$ is41" can be converted into an equation. . The variable to solve for is $b$ .

STEP 2

Let's convert the sentence into an equation. The word "sum" in mathematics implies addition, and "is" implies equality. So, the sentence "The sum of $6b$ and $-b$ is41" can be written as $6b + (-b) =41$

STEP 3

We can simplify the left side of the equation by adding $6b$ and $-3b$ together.
$3b =41$

STEP 4

To solve for $b$ , we need to isolate $b$ on one side of the equation. We can do this by dividing both sides of the equation by3.
$b = \frac{41}{3}$

STEP 5

Now, we can calculate the value of $b$ .
$b = \frac{41}{3} \approx13.7$ So, $b \approx13.7$ when rounded to the nearest tenth.

Get Studdy

Studdy solves anything!

Start learning now

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

Question Convert 6b+(−3b)=416b + (-3b) = 416b+(−3b)=41 to find bbb. Solve for b=8b = 8b=8.

Studdy Solution

STEP 1

Assumptions1. The sentence "The sum of 6b6b6b and −3b-3b−3b is41" can be converted into an equation. . The variable to solve for is bbb.

STEP 2

Let's convert the sentence into an equation. The word "sum" in mathematics implies addition, and "is" implies equality. So, the sentence "The sum of 6b6b6b and −b-b−b is41" can be written as6b+(−b)=416b + (-b) =416b+(−b)=41

STEP 3

We can simplify the left side of the equation by adding 6b6b6b and −3b-3b−3b together.3b=413b =413b=41

STEP 4

To solve for bbb, we need to isolate bbb on one side of the equation. We can do this by dividing both sides of the equation by3.b=413b = \frac{41}{3}b=341​

STEP 5

Now, we can calculate the value of bbb.b=413≈13.7b = \frac{41}{3} \approx13.7b=341​≈13.7So, b≈13.7b \approx13.7b≈13.7 when rounded to the nearest tenth.

Get Studdy

Studdy solves anything!

Start learning now

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

Question Convert $6b + (-3b) = 41$ to find $b$ . Solve for $b = 8$ .

Assumptions1. The sentence "The sum of $6b$ and $-3b$ is41" can be converted into an equation. . The variable to solve for is $b$ .

Let's convert the sentence into an equation. The word "sum" in mathematics implies addition, and "is" implies equality. So, the sentence "The sum of $6b$ and $-b$ is41" can be written as $6b + (-b) =41$

We can simplify the left side of the equation by adding $6b$ and $-3b$ together.
$3b =41$

To solve for $b$ , we need to isolate $b$ on one side of the equation. We can do this by dividing both sides of the equation by3.
$b = \frac{41}{3}$

Now, we can calculate the value of $b$ .
$b = \frac{41}{3} \approx13.7$ So, $b \approx13.7$ when rounded to the nearest tenth.