Question Find the value of $a$ when $5a - 10b = 45$ and $b = 3$ .

Studdy Solution

STEP 1

Assumptions
1. We are given the equation $5a - 10b = 45$ .
2. The value of $b$ is given as $3$ .
3. We need to find the value of $a$ when $b = 3$ .

STEP 2

First, we will substitute the value of $b$ into the equation.
$5a - 10b = 45$
$5a - 10(3) = 45$

STEP 3

Now, we will simplify the equation by performing the multiplication.
$5a - 30 = 45$

STEP 4

Next, we will isolate the variable $a$ by adding $30$ to both sides of the equation.
$5a - 30 + 30 = 45 + 30$

STEP 5

Simplify the equation by combining like terms.
$5a = 75$

STEP 6

To find the value of $a$ , we will divide both sides of the equation by $5$ .
$\frac{5a}{5} = \frac{75}{5}$

STEP 7

Calculate the value of $a$ .
$a = 15$
The value of $a$ when $b = 3$ is $15$ .

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Question Find the value of $a$ when $5a - 10b = 45$ and $b = 3$ .

Studdy Solution

STEP 1

Assumptions
1. We are given the equation $5a - 10b = 45$ .
2. The value of $b$ is given as $3$ .
3. We need to find the value of $a$ when $b = 3$ .

STEP 2

First, we will substitute the value of $b$ into the equation.
$5a - 10b = 45$
$5a - 10(3) = 45$

STEP 3

Now, we will simplify the equation by performing the multiplication.
$5a - 30 = 45$

STEP 4

Next, we will isolate the variable $a$ by adding $30$ to both sides of the equation.
$5a - 30 + 30 = 45 + 30$

STEP 5

Simplify the equation by combining like terms.
$5a = 75$

STEP 6

To find the value of $a$ , we will divide both sides of the equation by $5$ .
$\frac{5a}{5} = \frac{75}{5}$

STEP 7

Calculate the value of $a$ .
$a = 15$
The value of $a$ when $b = 3$ is $15$ .

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Question Find the value of aaa when 5a−10b=455a - 10b = 455a−10b=45 and b=3b = 3b=3.

Studdy Solution

STEP 1

Assumptions1. We are given the equation 5a−10b=455a - 10b = 455a−10b=45.2. The value of bbb is given as 333.3. We need to find the value of aaa when b=3b = 3b=3.

STEP 2

First, we will substitute the value of bbb into the equation.5a−10b=455a - 10b = 455a−10b=455a−10(3)=455a - 10(3) = 455a−10(3)=45

STEP 3

Now, we will simplify the equation by performing the multiplication.5a−30=455a - 30 = 455a−30=45

STEP 4

Next, we will isolate the variable aaa by adding 303030 to both sides of the equation.5a−30+30=45+305a - 30 + 30 = 45 + 305a−30+30=45+30

STEP 5

Simplify the equation by combining like terms.5a=755a = 755a=75

STEP 6

To find the value of aaa, we will divide both sides of the equation by 555.5a5=755\frac{5a}{5} = \frac{75}{5}55a​=575​

STEP 7

Calculate the value of aaa.a=15a = 15a=15The value of aaa when b=3b = 3b=3 is 151515.

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Question Find the value of $a$ when $5a - 10b = 45$ and $b = 3$ .

Assumptions
1. We are given the equation $5a - 10b = 45$ .
2. The value of $b$ is given as $3$ .
3. We need to find the value of $a$ when $b = 3$ .

First, we will substitute the value of $b$ into the equation.
$5a - 10b = 45$
$5a - 10(3) = 45$

Now, we will simplify the equation by performing the multiplication.
$5a - 30 = 45$

Next, we will isolate the variable $a$ by adding $30$ to both sides of the equation.
$5a - 30 + 30 = 45 + 30$

Simplify the equation by combining like terms.
$5a = 75$

To find the value of $a$ , we will divide both sides of the equation by $5$ .
$\frac{5a}{5} = \frac{75}{5}$

Calculate the value of $a$ .
$a = 15$
The value of $a$ when $b = 3$ is $15$ .