Solved on Sep 27, 2023

Solve for $b$ in the equation $4a = 2b - 7$ , then find $b$ when $a = 3$ . (1 point)

STEP 1

Assumptions1. We are given the equation $4a =b -7$ . We are asked to solve for $b$
3. After finding $b$ , we are asked to find the value of $b$ when $a =3$

STEP 2

First, we need to isolate $b$ in the equation. We can do this by adding $7$ to both sides of the equation.
$4a +7 =2b$

STEP 3

Next, we divide both sides of the equation by $2$ to solve for $b$ .
$b = \frac{a +7}{2}$

STEP 4

Now that we have $b$ in terms of $a$ , we can substitute $a =3$ into the equation to find the value of $b$ .
$b = \frac{4(3) +7}{2}$

STEP 5

implify the equation to calculate the value of $b$ .
$b = \frac{12 +7}{2}$

STEP 6

Continue to simplify the equation.
$b = \frac{19}{2}$ So, when $a =3$ , $b = \frac{19}{2}$ .

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Solve for $b$ in the equation $4a = 2b - 7$ , then find $b$ when $a = 3$ . (1 point)

STEP 1

Assumptions1. We are given the equation $4a =b -7$ . We are asked to solve for $b$
3. After finding $b$ , we are asked to find the value of $b$ when $a =3$

STEP 2

First, we need to isolate $b$ in the equation. We can do this by adding $7$ to both sides of the equation.
$4a +7 =2b$

STEP 3

Next, we divide both sides of the equation by $2$ to solve for $b$ .
$b = \frac{a +7}{2}$

STEP 4

Now that we have $b$ in terms of $a$ , we can substitute $a =3$ into the equation to find the value of $b$ .
$b = \frac{4(3) +7}{2}$

STEP 5

implify the equation to calculate the value of $b$ .
$b = \frac{12 +7}{2}$

STEP 6

Continue to simplify the equation.
$b = \frac{19}{2}$ So, when $a =3$ , $b = \frac{19}{2}$ .

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Solve for bbb in the equation 4a=2b−74a = 2b - 74a=2b−7, then find bbb when a=3a = 3a=3. (1 point)

STEP 1

Assumptions1. We are given the equation 4a=b−74a =b -74a=b−7 . We are asked to solve for bbb3. After finding bbb, we are asked to find the value of bbb when a=3a =3a=3

STEP 2

First, we need to isolate bbb in the equation. We can do this by adding 777 to both sides of the equation.4a+7=2b4a +7 =2b4a+7=2b

STEP 3

Next, we divide both sides of the equation by 222 to solve for bbb.b=a+72b = \frac{a +7}{2}b=2a+7​

STEP 4

Now that we have bbb in terms of aaa, we can substitute a=3a =3a=3 into the equation to find the value of bbb.b=4(3)+72b = \frac{4(3) +7}{2}b=24(3)+7​

STEP 5

implify the equation to calculate the value of bbb.b=12+72b = \frac{12 +7}{2}b=212+7​

STEP 6

Continue to simplify the equation.b=192b = \frac{19}{2}b=219​So, when a=3a =3a=3, b=192b = \frac{19}{2}b=219​.

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Solve for $b$ in the equation $4a = 2b - 7$ , then find $b$ when $a = 3$ . (1 point)

Assumptions1. We are given the equation $4a =b -7$ . We are asked to solve for $b$
3. After finding $b$ , we are asked to find the value of $b$ when $a =3$

First, we need to isolate $b$ in the equation. We can do this by adding $7$ to both sides of the equation.
$4a +7 =2b$

Next, we divide both sides of the equation by $2$ to solve for $b$ .
$b = \frac{a +7}{2}$

Now that we have $b$ in terms of $a$ , we can substitute $a =3$ into the equation to find the value of $b$ .
$b = \frac{4(3) +7}{2}$

implify the equation to calculate the value of $b$ .
$b = \frac{12 +7}{2}$

Continue to simplify the equation.
$b = \frac{19}{2}$ So, when $a =3$ , $b = \frac{19}{2}$ .