Question

sharon tried to solve an equation step by step.

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

\\9 = -3e + 6\\ step 1

\\15 = 3e\\ step 2

\\5 = e\\ step 3

Explanation:

Analyze Step 1

Using the Distributive Property and Linear Equations knowledge points

$$
LATEXBLOCK0
$$

Step 1 is correct.

Analyze Step 2

Using the Error Analysis in Equations and Linear Equations knowledge points

$$
LATEXBLOCK1
$$

Sharon wrote \(15 = 3e\). She incorrectly added \(6\) to both sides and changed the sign of \(-3e\). Step 2 is incorrect.

Determine the correct solution

Using the Linear Equations knowledge point

$$
LATEXBLOCK2
$$

Answer:

Sharon made a mistake in Step 2.

To solve \(9 = -3e + 6\) correctly, she should have subtracted \(6\) from both sides to get \(3 = -3e\), which simplifies to \(e = -1\). Instead, she incorrectly added \(6\) to the left side and changed the sign of the variable term on the right side to get \(15 = 3e\).