Sharon tried to solve an equation step by step.

\qquad\begin{aligned} 9&=-3(e-2)\\\\ \\ 9&=-3e+6&\green{\text{Step } 1}\\\\ \\ 15&=3e&\blue{\text{Step } 2}\\\\ \\ 5&=e&\purple{\text{Step } 3}\\\\ \end{aligned}

9

9

15

5




=−3(e−2)

=−3e+6

=3e

=e




Step 1

Step 2

Step 3




Find Sharon's mistake.

Respuesta :

Answer:

Sharon made a mistake in step 2.

Step-by-step explanation:

Sharon tried to solve an equation step by step.

[tex]\qquad\begin{aligned} 9&=-3(e-2)\\\\ \\ 9&=-3e+6&\green{\text{Step } 1}\\\\ \\ 15&=3e&\blue{\text{Step } 2}\\\\ \\ 5&=e&\purple{\text{Step } 3}\\\\ \end{aligned}[/tex]

The correct steps are:

The given equation is

[tex]9=-3(e-2)[/tex]

Step 1: Using distributive property we get

[tex]9=-3e-3(-2)[/tex]

[tex]9=-3e+6[/tex]

Step 2: Subtract 6 from both sides.

[tex]9-6=-3e+6-6[/tex]

[tex]3=-3e[/tex]

Step 3: Divide both sides by -3.

[tex]\frac{3}{-3}=\frac{-3e}{-3}[/tex]

[tex]-1=e[/tex]

Therefore, Sharon made a mistake in step 2.

Answer:

Step 2

Step-by-step explanation:

Khan academy inequalities 7th grade math unit test