Solved on Dec 06, 2023

Find Sharon's mistake in solving the equation $9=-3(e-2)$ step-by-step.

STEP 1

Assumptions
1. Sharon is solving the equation step by step.
2. The original equation is $9=-3(e-2)$ .
3. We need to check each step for any mistakes.

STEP 2

Let's verify Step 1 of Sharon's solution. She distributed the $-3$ to both $e$ and $-2$ .
$9=-3(e-2)$
$9=-3e+6$
This step is correct.

STEP 3

Now, let's verify Step 2. Sharon added $6$ to both sides of the equation to isolate the term with $e$ .
$9=-3e+6$
$9-6=-3e+6-6$
$3=-3e$
Sharon made a mistake here. She should have subtracted $6$ from $9$ , which gives $3$ , not $15$ .

STEP 4

Correcting Sharon's mistake in Step 2, we should have:
$3=-3e$
Now, we need to solve for $e$ .

STEP 5

To find the value of $e$ , we divide both sides of the equation by $-3$ .
$\frac{3}{-3} = \frac{-3e}{-3}$

STEP 6

Solve for $e$ .
$e = -1$
Sharon's mistake was in Step 2 where she incorrectly added $6$ to $9$ instead of subtracting it. The correct solution is $e = -1$ .

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Find Sharon's mistake in solving the equation $9=-3(e-2)$ step-by-step.

STEP 1

Assumptions
1. Sharon is solving the equation step by step.
2. The original equation is $9=-3(e-2)$ .
3. We need to check each step for any mistakes.

STEP 2

Let's verify Step 1 of Sharon's solution. She distributed the $-3$ to both $e$ and $-2$ .
$9=-3(e-2)$
$9=-3e+6$
This step is correct.

STEP 3

Now, let's verify Step 2. Sharon added $6$ to both sides of the equation to isolate the term with $e$ .
$9=-3e+6$
$9-6=-3e+6-6$
$3=-3e$
Sharon made a mistake here. She should have subtracted $6$ from $9$ , which gives $3$ , not $15$ .

STEP 4

Correcting Sharon's mistake in Step 2, we should have:
$3=-3e$
Now, we need to solve for $e$ .

STEP 5

To find the value of $e$ , we divide both sides of the equation by $-3$ .
$\frac{3}{-3} = \frac{-3e}{-3}$

STEP 6

Solve for $e$ .
$e = -1$
Sharon's mistake was in Step 2 where she incorrectly added $6$ to $9$ instead of subtracting it. The correct solution is $e = -1$ .

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Find Sharon's mistake in solving the equation 9=−3(e−2)9=-3(e-2)9=−3(e−2) step-by-step.

STEP 1

Assumptions1. Sharon is solving the equation step by step.2. The original equation is 9=−3(e−2)9=-3(e-2)9=−3(e−2).3. We need to check each step for any mistakes.

STEP 2

Let's verify Step 1 of Sharon's solution. She distributed the −3-3−3 to both eee and −2-2−2.9=−3(e−2)9=-3(e-2)9=−3(e−2)9=−3e+69=-3e+69=−3e+6This step is correct.

STEP 3

Now, let's verify Step 2. Sharon added 666 to both sides of the equation to isolate the term with eee.9=−3e+69=-3e+69=−3e+69−6=−3e+6−69-6=-3e+6-69−6=−3e+6−63=−3e3=-3e3=−3eSharon made a mistake here. She should have subtracted 666 from 999, which gives 333, not 151515.

STEP 4

Correcting Sharon's mistake in Step 2, we should have:3=−3e3=-3e3=−3eNow, we need to solve for eee.

STEP 5

To find the value of eee, we divide both sides of the equation by −3-3−3.3−3=−3e−3\frac{3}{-3} = \frac{-3e}{-3}−33​=−3−3e​

STEP 6

Solve for eee.e=−1e = -1e=−1Sharon's mistake was in Step 2 where she incorrectly added 666 to 999 instead of subtracting it. The correct solution is e=−1e = -1e=−1.

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

Find Sharon's mistake in solving the equation $9=-3(e-2)$ step-by-step.

Assumptions
1. Sharon is solving the equation step by step.
2. The original equation is $9=-3(e-2)$ .
3. We need to check each step for any mistakes.

Let's verify Step 1 of Sharon's solution. She distributed the $-3$ to both $e$ and $-2$ .
$9=-3(e-2)$
$9=-3e+6$
This step is correct.

Now, let's verify Step 2. Sharon added $6$ to both sides of the equation to isolate the term with $e$ .
$9=-3e+6$
$9-6=-3e+6-6$
$3=-3e$
Sharon made a mistake here. She should have subtracted $6$ from $9$ , which gives $3$ , not $15$ .

Correcting Sharon's mistake in Step 2, we should have:
$3=-3e$
Now, we need to solve for $e$ .

To find the value of $e$ , we divide both sides of the equation by $-3$ .
$\frac{3}{-3} = \frac{-3e}{-3}$

Solve for $e$ .
$e = -1$
Sharon's mistake was in Step 2 where she incorrectly added $6$ to $9$ instead of subtracting it. The correct solution is $e = -1$ .