Solved on Sep 15, 2023

Jessie solved an equation step-by-step: $1.5 b+9=11$ , $1.5 b=3$ , and $b=2$ .

STEP 1

Assumptions1. Jessie started with the equation $1.5b +9 =11$ . In Step1, she subtracted9 from both sides to get $1.5b =3$
3. In Step, she divided both sides by1.5 to solve for $b$ , getting $b =$

STEP 2

First, let's verify if Jessie's Step1 is correct. She subtracted9 from both sides of the equation $1.5b +9 =11$ .
$1.5b +9 -9 =11 -9$

STEP 3

implify the equation to verify Jessie's Step1.
$1.5b =11 -9$

STEP 4

Calculate the right side of the equation.
$1.b =2$

STEP 5

Jessie's Step1 is correct. Now, let's verify if Jessie's Step2 is correct. She divided both sides of the equation $1.5b =2$ by1.5.
$\frac{1.5b}{1.5} = \frac{2}{1.5}$

STEP 6

implify the equation to verify Jessie's Step2.
$b = \frac{2}{1.5}$

STEP 7

Calculate the right side of the equation.
$b = \frac{4}{3}$

STEP 8

Jessie's Step2 is incorrect. The correct solution should be $b = \frac{4}{3}$ , not $b =2$ .
So, Jessie made a mistake in Step2. The correct solution is $b = \frac{4}{3}$ .

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Jessie solved an equation step-by-step: $1.5 b+9=11$ , $1.5 b=3$ , and $b=2$ .

STEP 1

Assumptions1. Jessie started with the equation $1.5b +9 =11$ . In Step1, she subtracted9 from both sides to get $1.5b =3$
3. In Step, she divided both sides by1.5 to solve for $b$ , getting $b =$

STEP 2

First, let's verify if Jessie's Step1 is correct. She subtracted9 from both sides of the equation $1.5b +9 =11$ .
$1.5b +9 -9 =11 -9$

STEP 3

implify the equation to verify Jessie's Step1.
$1.5b =11 -9$

STEP 4

Calculate the right side of the equation.
$1.b =2$

STEP 5

Jessie's Step1 is correct. Now, let's verify if Jessie's Step2 is correct. She divided both sides of the equation $1.5b =2$ by1.5.
$\frac{1.5b}{1.5} = \frac{2}{1.5}$

STEP 6

implify the equation to verify Jessie's Step2.
$b = \frac{2}{1.5}$

STEP 7

Calculate the right side of the equation.
$b = \frac{4}{3}$

STEP 8

Jessie's Step2 is incorrect. The correct solution should be $b = \frac{4}{3}$ , not $b =2$ .
So, Jessie made a mistake in Step2. The correct solution is $b = \frac{4}{3}$ .

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Jessie solved an equation step-by-step: 1.5b+9=111.5 b+9=111.5b+9=11, 1.5b=31.5 b=31.5b=3, and b=2b=2b=2.

STEP 1

Assumptions1. Jessie started with the equation 1.5b+9=111.5b +9 =111.5b+9=11 . In Step1, she subtracted9 from both sides to get 1.5b=31.5b =31.5b=33. In Step, she divided both sides by1.5 to solve for bbb, getting b=b =b=

STEP 2

First, let's verify if Jessie's Step1 is correct. She subtracted9 from both sides of the equation 1.5b+9=111.5b +9 =111.5b+9=11.1.5b+9−9=11−91.5b +9 -9 =11 -91.5b+9−9=11−9

STEP 3

implify the equation to verify Jessie's Step1.1.5b=11−91.5b =11 -91.5b=11−9

STEP 4

Calculate the right side of the equation.1.b=21.b =21.b=2

STEP 5

Jessie's Step1 is correct. Now, let's verify if Jessie's Step2 is correct. She divided both sides of the equation 1.5b=21.5b =21.5b=2 by1.5.1.5b1.5=21.5\frac{1.5b}{1.5} = \frac{2}{1.5}1.51.5b​=1.52​

STEP 6

implify the equation to verify Jessie's Step2.b=21.5b = \frac{2}{1.5}b=1.52​

STEP 7

Calculate the right side of the equation.b=43b = \frac{4}{3}b=34​

STEP 8

Jessie's Step2 is incorrect. The correct solution should be b=43b = \frac{4}{3}b=34​, not b=2b =2b=2.So, Jessie made a mistake in Step2. The correct solution is b=43b = \frac{4}{3}b=34​.

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

Jessie solved an equation step-by-step: $1.5 b+9=11$ , $1.5 b=3$ , and $b=2$ .

Assumptions1. Jessie started with the equation $1.5b +9 =11$ . In Step1, she subtracted9 from both sides to get $1.5b =3$
3. In Step, she divided both sides by1.5 to solve for $b$ , getting $b =$

First, let's verify if Jessie's Step1 is correct. She subtracted9 from both sides of the equation $1.5b +9 =11$ .
$1.5b +9 -9 =11 -9$

implify the equation to verify Jessie's Step1.
$1.5b =11 -9$

Calculate the right side of the equation.
$1.b =2$

Jessie's Step1 is correct. Now, let's verify if Jessie's Step2 is correct. She divided both sides of the equation $1.5b =2$ by1.5.
$\frac{1.5b}{1.5} = \frac{2}{1.5}$

implify the equation to verify Jessie's Step2.
$b = \frac{2}{1.5}$

Calculate the right side of the equation.
$b = \frac{4}{3}$

Jessie's Step2 is incorrect. The correct solution should be $b = \frac{4}{3}$ , not $b =2$ .
So, Jessie made a mistake in Step2. The correct solution is $b = \frac{4}{3}$ .