Q:

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} 99155​ =−3(e−2)=−3e+6=3e=e​ Step 1Step 2Step 3​ Find Sharon's mistake.

Accepted Solution

A:
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.