Question

Sharon tried to solve an equation step by step.

Answer 1

Answer:

Sharon made a mistake in step 2.

Step-by-step explanation:

Sharon tried to solve an equation step by step.

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

The correct steps are:

The given equation is

$9=-3(e-2)$

Step 1: Using distributive property we get

$9=-3e-3(-2)$

$9=-3e+6$

Step 2: Subtract 6 from both sides.

$9-6=-3e+6-6$

$3=-3e$

Step 3: Divide both sides by -3.

$\frac{3}{-3}=\frac{-3e}{-3}$

$-1=e$

Therefore, Sharon made a mistake in step 2.

Answer 2

Answer:

Step 2

Step-by-step explanation:

Khan academy inequalities 7th grade math unit test