Solved on Jan 10, 2024

Find the value of $9b$ if $4-2b=b$ .

STEP 1

Assumptions
1. The equation given is $4 - 2b = b$ .
2. We need to solve for $b$ .
3. After finding the value of $b$ , we need to calculate $9b$ .

STEP 2

To solve for $b$ , we will first isolate the variable on one side of the equation. We can do this by adding $2b$ to both sides of the equation.
$4 - 2b + 2b = b + 2b$

STEP 3

Simplify both sides of the equation to get $b$ by itself.
$4 = 3b$

STEP 4

Now, divide both sides of the equation by $3$ to solve for $b$ .
$\frac{4}{3} = \frac{3b}{3}$

STEP 5

Simplify the equation to find the value of $b$ .
$b = \frac{4}{3}$

STEP 6

Now that we have the value of $b$ , we can calculate $9b$ by multiplying $9$ by the value of $b$ .
$9b = 9 \times \frac{4}{3}$

STEP 7

Multiply the numbers to find the value of $9b$ .
$9b = 9 \times \frac{4}{3} = 3 \times 4 = 12$
Therefore, $9b = 12$ .

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Find the value of $9b$ if $4-2b=b$ .

STEP 1

Assumptions
1. The equation given is $4 - 2b = b$ .
2. We need to solve for $b$ .
3. After finding the value of $b$ , we need to calculate $9b$ .

STEP 2

To solve for $b$ , we will first isolate the variable on one side of the equation. We can do this by adding $2b$ to both sides of the equation.
$4 - 2b + 2b = b + 2b$

STEP 3

Simplify both sides of the equation to get $b$ by itself.
$4 = 3b$

STEP 4

Now, divide both sides of the equation by $3$ to solve for $b$ .
$\frac{4}{3} = \frac{3b}{3}$

STEP 5

Simplify the equation to find the value of $b$ .
$b = \frac{4}{3}$

STEP 6

Now that we have the value of $b$ , we can calculate $9b$ by multiplying $9$ by the value of $b$ .
$9b = 9 \times \frac{4}{3}$

STEP 7

Multiply the numbers to find the value of $9b$ .
$9b = 9 \times \frac{4}{3} = 3 \times 4 = 12$
Therefore, $9b = 12$ .

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Find the value of 9b9b9b if 4−2b=b4-2b=b4−2b=b.

STEP 1

Assumptions1. The equation given is 4−2b=b4 - 2b = b4−2b=b.2. We need to solve for bbb.3. After finding the value of bbb, we need to calculate 9b9b9b.

STEP 2

To solve for bbb, we will first isolate the variable on one side of the equation. We can do this by adding 2b2b2b to both sides of the equation.4−2b+2b=b+2b4 - 2b + 2b = b + 2b4−2b+2b=b+2b

STEP 3

Simplify both sides of the equation to get bbb by itself.4=3b4 = 3b4=3b

STEP 4

Now, divide both sides of the equation by 333 to solve for bbb.43=3b3\frac{4}{3} = \frac{3b}{3}34​=33b​

STEP 5

Simplify the equation to find the value of bbb.b=43b = \frac{4}{3}b=34​

STEP 6

Now that we have the value of bbb, we can calculate 9b9b9b by multiplying 999 by the value of bbb.9b=9×439b = 9 \times \frac{4}{3}9b=9×34​

STEP 7

Multiply the numbers to find the value of 9b9b9b.9b=9×43=3×4=129b = 9 \times \frac{4}{3} = 3 \times 4 = 129b=9×34​=3×4=12Therefore, 9b=129b = 129b=12.

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Find the value of $9b$ if $4-2b=b$ .

Assumptions
1. The equation given is $4 - 2b = b$ .
2. We need to solve for $b$ .
3. After finding the value of $b$ , we need to calculate $9b$ .

To solve for $b$ , we will first isolate the variable on one side of the equation. We can do this by adding $2b$ to both sides of the equation.
$4 - 2b + 2b = b + 2b$

Simplify both sides of the equation to get $b$ by itself.
$4 = 3b$

Now, divide both sides of the equation by $3$ to solve for $b$ .
$\frac{4}{3} = \frac{3b}{3}$

Simplify the equation to find the value of $b$ .
$b = \frac{4}{3}$

Now that we have the value of $b$ , we can calculate $9b$ by multiplying $9$ by the value of $b$ .
$9b = 9 \times \frac{4}{3}$

Multiply the numbers to find the value of $9b$ .
$9b = 9 \times \frac{4}{3} = 3 \times 4 = 12$
Therefore, $9b = 12$ .